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Question

In the given figure, AB || CD. Find the measure of y in degrees.


  1. 90

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Solution

The correct option is A 90

Here, AB || CD, and PQ and PR are the two transversals.

We know that co-interior angles are supplementary.

APQ+CQP=180

x+CQP=180

x+140=180

x=40

Similarly,

BPR+PRD=180 (Co-interior angles)

z+130=180

z=50

Now, angles x, y and z form a line, hence they sum up to 180.

x+y+z=180 (Linear pair)

40+y+50=180

y+90=180

y=90

y=90


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