In the figure above, m//n. Which of the angles are supplementary to ∠1?

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问题

In the figure above, m//n. Which of the angles are supplementary to ∠1?

选项 A、∠2
B、∠3
C、∠5
D、∠6
E、∠7

答案A, D

解析 The correct answer is A and D. Supplementary angles total 180°. ∠l is adjacent to ∠2 and forms a straight line, so the two angles are supplementary. ∠l = ∠3 because they are corresponding angles. Since ∠6 is adjacent and supplementary to ∠3, it is also supplementary to ∠l. In this case, angles represented by B, C, and E are all congruent to ∠l.

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