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Question
In the fig. below, if AB || CD, APQ = 50 and PRD = 127, find x and y.
In The Fig. Below, If AB || CD, ∠APQ = 50∘ and ∠PRD =...
Options:
A .  50∘, 67∘
B .  50∘, 77∘
C .  77∘, 87∘
D .  77∘, 97∘
Answer: Option B
:
B
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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