题目内容
如图,直线l1//l2,点A在直线l1上,以点A为圆心,适当长为半径画弧,分别交
直线l1、l2于B、C两点,连结AC、BC.若∠
=54°,则∠1的大小为

直线l1、l2于B、C两点,连结AC、BC.若∠

A.36°. | B.54°. | C.72°. | D.73°. |
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C
∵l1∥l2,∠ABC=54°,
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∴∠2=∠ABC=54°,
∵以点A为圆心,适当长为半径画弧,分别交直线l1、l2于B、C两点,
∴AC=AB,
∴∠ACB=∠ABC=54°,
∵∠1+∠ACB+∠2=180°,
∴∠1=72°.
故选C.

∴∠2=∠ABC=54°,
∵以点A为圆心,适当长为半径画弧,分别交直线l1、l2于B、C两点,
∴AC=AB,
∴∠ACB=∠ABC=54°,
∵∠1+∠ACB+∠2=180°,
∴∠1=72°.
故选C.
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