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<image>The Caption of this geometric diagram is:As shown in the figure, put the right angle vertex of the triangle on one side of the ruler, if ∠1 = 65.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
25
106
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line AB ∥ CD, if ∠1 = 70.0, then the degree of ∠BOF is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
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<image>The Caption of this geometric diagram is:As shown in the figure, in △ABC, AD is the angle bisector of △ABC, BE is the height of △ABC, ∠C = 70.0, ∠ABC = 48.0, then ∠3 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
59
138
<image>The Caption of this geometric diagram is:Place a pair of right triangular plates as shown in the figure, so that a leg of the triangular plate with angle 30.0 and a leg of the triangular plate with angle 45.0 coincide, then the degree of ∠1 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
75
140
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, EF ⊥ AB is in E, EF crosses CD in F, it is known that ∠1 = 50.0, then ∠2 = () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
40
153
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, the right triangle is placed as shown, ∠DCB = 90.0, if ∠2 + ∠B = 70.0, then the degree of ∠1 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
20
157
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, the radial line DC intersects the straight line a at point C, and passes through point D as DE ⊥ b at point E. It is known that ∠1 = 25.0, then the degree of ∠2 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
115
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<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 75.0, ∠2 = 35.0, then the degree of ∠3 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
40
162
<image>The Caption of this geometric diagram is:As shown in the figure, place the two vertices of a right triangle plate with 30.0 angles on a set of opposite sides of the rectangular ruler. If ∠2 = 60.0, then the degree of ∠1 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
30
174
<image>The Caption of this geometric diagram is:Place an isosceles right triangle board and a ruler as shown in the figure, if ∠1 = 60.0, then the degree of ∠2 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
75
175
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 60.0, ∠2 = 40.0, then ∠3 is equal to () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
80
176
<image>The Caption of this geometric diagram is:As shown in the figure, in △ABC, ∠A = 90.0, point D is on the edge of AC, DE // BC, if ∠1 = 155.0, then the degree of ∠B is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
65
183
<image>The Caption of this geometric diagram is:As shown in the figure, given that AB ∥ CD, the straight line EF intersects AB and CD at points E and F respectively, and EG bisects ∠BEF intersects CD at point G. If ∠1 = 50.0, then the degree of ∠2 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
65
193
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line AB ∥ CD, the straight line EF intersects AB and CD at points E, F, and the bisector of ∠BEF intersects at point N. If ∠1 = 63.0, then ∠2 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
54
209
<image>The Caption of this geometric diagram is:As shown in the figure, ∠1 +∠B = 180.0, ∠2 = 45.0, then the degree of ∠D is ().Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
45
215
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, ∠A = 50.0, then the size of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
130
219
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 108.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
72
220
<image>The Caption of this geometric diagram is:As shown in the figure, AB ⊥ BC, AE bisects ∠BAD crosses BC at point E, AE ⊥ DE, ∠1 + ∠2 = 90.0, M and N are points on the extended lines of BA and CD respectively, and the bisectors of ∠EAM and ∠EDN intersect at point F, and the degree of ∠F is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
135
227
<image>The Caption of this geometric diagram is:As shown in the figure, the straight lines a and b intersect with the straight lines c and d. It is known that ∠1 = ∠2, ∠3 = 110.0, then the degree of ∠4 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
70
230
<image>The Caption of this geometric diagram is:As shown in the figure, in the isosceles triangle ABC, AB = AC, BD bisects ∠ABC, ∠A = 36.0, then the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
72
237
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, point E is on the line segment BC, if ∠1 = 40.0, ∠2 = 30.0, then the degree of ∠3 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
70
243
<image>The Caption of this geometric diagram is:As shown in the figure, it is known that the straight line AB ∥ CD, the bisector EF of ∠BEG intersects CD at point F, if ∠1 = 42.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
159
255
<image>The Caption of this geometric diagram is:As shown in the figure, the line m ∥ n, put a vertex C of an acute angle of the triangle plate ABC with angle 45.0 on the line n, then ∠1 + ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
90
259
<image>The Caption of this geometric diagram is:As shown in the figure, given that AB ∥ CD, EF bisects ∠CEG, ∠1 = 80.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
50
270
<image>The Caption of this geometric diagram is:As shown in the figure, point O is a point in △ABC, ∠A = 80.0, ∠1 = 15.0, ∠2 = 40.0, then ∠BOC is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
135
278
<image>The Caption of this geometric diagram is:Fold a paper tape with two parallel edges as shown in the figure, if ∠1 = 62.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
56
29
<image>The Caption of this geometric diagram is:As shown in the figure, given that AD = AE, BE = CD, ∠1 = ∠2 = 110.0, ∠BAC = 80.0, then the degree of ∠CAE is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
20
293
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, and a right-angled triangular plate ABC (∠A = 60.0) with 60.0 angles are placed as shown in the figure. If ∠1 = 55.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
115
297
<image>The Caption of this geometric diagram is:As shown in the figure, a rectangular piece of paper ABCD is folded along EF, and points D and C fall at the positions of D′ and C′ respectively. If ∠1 = 56.0, then the degree of ∠EFB is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
62
304
<image>The Caption of this geometric diagram is:As shown in the figure, place the ruler and the right triangular plate as shown in the figure. It is known that ∠1 = 35.0, then the size of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
55
316
<image>The Caption of this geometric diagram is:As shown in the figure, the straight lines a and b are intercepted by the straight line c, and a // b, if ∠1 = 55.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
55
321
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, the straight line c intersects the straight lines a and b, if ∠1 = 56.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
56
336
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 108.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
72
338
<image>The Caption of this geometric diagram is:As shown in the figure, given the straight line a ∥ b, ∠1 = 100.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
80
340
<image>The Caption of this geometric diagram is:As shown in the figure, given the straight line AB ∥ CD, the bisector EF of ∠GEB intersects CD at point F, ∠1 = 42.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
159
342
<image>The Caption of this geometric diagram is:As shown in the figure, the vertices A and C of the rectangle ABCD are on the straight lines a and b respectively, and a ∥ b, ∠1 = 60.0, then the degree of ∠2 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
60
344
<image>The Caption of this geometric diagram is:As shown in the figure, place the vertex of right angle of a right triangle plate on one side of the ruler. If ∠1 = 50.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
40
346
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, the straight line l and a and b intersect at two points A and B respectively, and the perpendicular to the straight line l through point A intersects the straight line b at point C. If ∠1 = 58.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
32
347
<image>The Caption of this geometric diagram is:As shown in the figure, the straight lines a and b are intercepted by the straight line c. If a ∥ b, ∠1 = 110.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
70
353
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, put the vertex of right angle C of the triangle plate ABC with 30.0 angle on the straight line a, if ∠1 = 65.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
35
360
<image>The Caption of this geometric diagram is:Place a pair of right-angled triangle plates ABC (including 30.0, 60.0 angles) and CDE (including 45.0, 45.0 angles) as shown in the figure, so that the vertices of right angles C coincide, if DE ∥ BC, then the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
105
366
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, EC ⊥ CD in C, CF intersects AB at B, it is known that ∠2 = 29.0, then the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
61
372
<image>The Caption of this geometric diagram is:As shown in the figure, a ∥ b, point B is on the straight line a, AB ⊥ BC, if ∠1 = 38.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
52
374
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, if ∠1 = 40.0, ∠2 = 55.0, then ∠3 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
95
375
<image>The Caption of this geometric diagram is:As shown in the figure, in the quadrilateral ABDC, △EDC is obtained by rotating △ABC around vertex C by 40.0, vertex A happens to turn to the position of point E on AB, then ∠1 + ∠2 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
110
389
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ⊥ the straight line c, the straight line b ⊥ the straight line c, if ∠1 = 70.0, then ∠2 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
70
4
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line AB ∥ CD, ∠1 = 50.0, ∠2 = 110.0, then the size of ∠E is ().Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
60
405
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line ∥ n, put the vertex of right angle C of the triangle plate ABC with 45.0 angle on the straight line n, then ∠1 + ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
45
406
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 120.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
60
424
<image>The Caption of this geometric diagram is:As shown in the figure, ∠1 = 62.0, if ∥ n, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
62
426
<image>The Caption of this geometric diagram is:As shown in the figure, in the quadrilateral ABCD, ∠1 = ∠2, ∠A = 60.0, then ∠ADC = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
120
436
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, AD = CD, ∠2 = 40.0, then the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
70
442
<image>The Caption of this geometric diagram is:As shown in the figure, it is known that AB ∥ CD, the line MN intersects AB and CD at points M, N, and NG bisects ∠MND. If ∠1 = 70.0, then the degree of ∠2 is ().Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
35
444
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, CD ⊥ EF, if ∠1 = 125.0, then ∠2 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
35
450
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 30.0, ∠2 = 40.0, and AD = AC, then the degree of ∠3 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
40
463
<image>The Caption of this geometric diagram is:Place a pair of right triangular plates as shown in the figure, so that the short leg of the triangular plate with angle 30.0 and a leg of the triangular plate with angle 45.0 coincide, then the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
75
469
<image>The Caption of this geometric diagram is:As shown in the figure, it is known that the straight lines a and b are intercepted by the straight line c. If a ∥ b, ∠1 = 110.0, ∠2 = 40.0, then ∠3 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
70
470
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 56.0, ∠2 = 37.0, then the degree of ∠3 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
87
477
<image>The Caption of this geometric diagram is:As shown in the figure, it is known that AE ∥ BD, ∠1 = 130.0, ∠2 = 30.0, then ∠C = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
20
480
<image>The Caption of this geometric diagram is:As shown in the figure, place the vertex of the right angle of a right triangle plate on one side of the ruler. If ∠2 = 40.0, then the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
50
490
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 85.0, ∠2 = 35.0, then ∠3 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
50
494
<image>The Caption of this geometric diagram is:As shown in the figure, BC ⊥ AE is at point C, CD ∥ AB, ∠B = 50.0, then ∠1 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
40
498
<image>The Caption of this geometric diagram is:As shown in the figure, given the straight line a ∥ b, the straight line c and a and b intersect at A and B respectively; and ∠1 = 120.0, then ∠2 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
120
5
<image>The Caption of this geometric diagram is:As shown in the figure, ∠1 = 100.0, ∠C = 70.0, then the size of ∠A is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
30
52
<image>The Caption of this geometric diagram is:As shown in the figure, put the two vertices of a right triangle containing 45.0 on the opposite sides of the ruler. If ∠1 = 20.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
25
61
<image>The Caption of this geometric diagram is:Put a ruler and a triangle plate as shown in the figure, if ∠1 = 40.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
130
63
<image>The Caption of this geometric diagram is:As shown in the figure, a ∥ b, ∠1 = 130.0, then the degree of ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
130
78
<image>The Caption of this geometric diagram is:As shown in the figure, in △ABC, ∠A = 90.0, point D is on the edge of AC, DE ∥ BC, if ∠1 = 145.0, then the degree of ∠B is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
55
82
<image>The Caption of this geometric diagram is:As shown in the figure, the three vertices of △ABC are on the straight lines a and b, and a ∥ b. If ∠1 = 120.0, ∠2 = 80.0, then the degree of ∠3 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
40
84
<image>The Caption of this geometric diagram is:As shown in the figure, Xiao Cong puts the two vertices of a right triangle plate containing 60.0 angles on the opposite sides of the ruler, and measured ∠1 = 23.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
37
91
<image>The Caption of this geometric diagram is:As shown in the figure, fold the rectangle ABCD along EF, if ∠1 = 40.0, then ∠AEF = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
110
1,504
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, AC ⊥ AB, AC intersects the straight line b at point C, ∠1 = 60.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
30
1,534
<image>The Caption of this geometric diagram is:As shown in the figure, it is known that ∠1 + ∠2 = 180.0, ∠3 = 55.0, then the degree of ∠4 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
55
1,535
<image>The Caption of this geometric diagram is:Place a ruler and a triangular plate as shown in the figure, if ∠1 = 60.0, then ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
150
1,537
<image>The Caption of this geometric diagram is:As shown in the figure, put the vertex of a right triangle plate containing 30.0 on one side of the ruler, if ∠1 = 48.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
102
1,540
<image>The Caption of this geometric diagram is:As shown in the figure, given the straight line a ∥ b, ∠1 = 110.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
70
1,541
<image>The Caption of this geometric diagram is:As shown in the figure, put the two vertices of a right triangle plate with 45.0 angles on the opposite sides of the ruler. If ∠1 = 20.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
25
1,552
<image>The Caption of this geometric diagram is:As shown in the figure, put the vertex of the right angle of the triangle ruler on one side of the ruler, ∠1 = 30.0, ∠2 = 50.0, then the degree of ∠3 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
20
1,558
<image>The Caption of this geometric diagram is:As shown in the figure, it is known that a ∥ b, ∠1 = 55.0, then the degree of ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
125
1,563
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 50.0, ∠2 = 40.0, then the degree of ∠3 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
90
1,585
<image>The Caption of this geometric diagram is:As shown in the figure, in △ABC, AB = AC, ∠A = 30.0, line a ∥ b, vertex C is on line b, line a intersects AB at point D, and intersects AC at point E, if ∠1 = 145.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
40
1,591
<image>The Caption of this geometric diagram is:As shown in the figure, ∠1 + ∠2 = 180.0, ∠3 = 50.0, then the degree of ∠4 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
50
1,602
<image>The Caption of this geometric diagram is:As shown in the figure, ∠1 + ∠2 = 180.0, ∠3 = 104.0, then the degree of ∠4 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
76
1,603
<image>The Caption of this geometric diagram is:Place the ruler and the right triangle as shown in the figure. It is known that ∠1 = 30.0, then the size of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
60
1,611
<image>The Caption of this geometric diagram is:As shown in the figure, b ∥ c, a ⊥ b, ∠1 = 130.0, then ∠2 = ().Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
40
1,619
<image>The Caption of this geometric diagram is:As shown in the figure, a // b, ∠1 = 70.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
70
1,633
<image>The Caption of this geometric diagram is:As shown in the figure, ∠1 = ∠2, AC = AD, ∠C = ∠D, if AB = 3.0, BC = 2.0, AC = 2.0, then the length of DE is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
3
1,639
<image>The Caption of this geometric diagram is:As shown in the figure, it is known that ∠1 = ∠2 = ∠3 = 62.0, then ∠4 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
118
1,642
<image>The Caption of this geometric diagram is:As shown in the figure, in ⊙O, =, ∠1 = 45.0, then ∠2 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
45
1,663
<image>The Caption of this geometric diagram is:As shown in the figure, in △ABC, ∠C = 90.0, AE bisects ∠BAC, BD ⊥ AE intersects the extended line of AE at D. If ∠1 = 24.0, then ∠EAB is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
24
1,922
<image>The Caption of this geometric diagram is:As shown in the figure, l1 ∥ l2, l3 ⊥ l4, ∠1 = 42.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
48
1,961
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, ∠1 = 110.0, ∠ECD = 70.0, the size of ∠E is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
40
1,980
<image>The Caption of this geometric diagram is:As shown in the figure, in ⊙O, OC ∥ AB, ∠A = 20.0, then ∠1 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
60
2,228
<image>The Caption of this geometric diagram is:As shown in the figure, in Rt△ABC, ∠ACB = 90.0, CD ⊥ AB at point D, BC = 3.0, AC = 4.0, then the value of sin∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
0.6
2,661
<image>The Caption of this geometric diagram is:As shown in the figure, in △ABC, ∠C = 90.0, EF ∥ AB, ∠B = 39.0, then the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
51
3,043
<image>The Caption of this geometric diagram is:As shown in the figure, in △ABC, ∠A = 50.0, points D and E are on AB and AC respectively, then the size of ∠1 + ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
230
3,086
<image>The Caption of this geometric diagram is:As shown in the figure, it is the situation where two wooden boards A and B are placed on the ground. In the figure, ∠1 and ∠2 are the angles between the two boards A and B and the ground respectively, and ∠3 is the angle between the two boards. If ∠3 = 110.0, then ∠2 - ∠1 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
70
3,365
<image>The Caption of this geometric diagram is:As shown in the figure, there are two points A and B on the outer edge of the protractor, and their readings are 70.0 and 40.0 respectively, so the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
15
3,423
<image>The Caption of this geometric diagram is:As shown in the figure, point O is on the straight line DB, it is known that ∠1 = 15.0, ∠AOC = 90.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
105
4,909
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, ∠A = 50.0, ∠C = 30.0, then the size of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
80
4,928
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