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Question

As shown in above figure AB and CD are two parallel lines and a line XY passes through them and intersects AB at P & CD at Q. If DQX=x then APY= ___.


A

x

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B

180

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C

180x

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D

90x

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Solution

The correct option is A

x


Given DQX=x

BPY and DQX are supplementary angles so BPY=180x

BPY and APY are supplementary angles.

BPY+APY=180

180x+APY=180 APY=x

Also, APY=DQX=x (Since they are alternate interior angles)


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