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Question

In the fig. below, if AB || CD, APQ = 50 and PRD = 127, find x and y.


A

x = 50

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B

y = 77

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C

y = 87

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D

x = 60

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Solution

The correct options are
A

x = 50


B

y = 77


Since AB || CD

APQ = PQR (Alternate interior angles of transversal PQ)

⇒x = 50

APR = PRD (Alternate interior angles of transversal PR)

⇒y + 50 = 127

⇒ y = 127 - 50

= 77


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