If AB || CD, APQ = 50º and PRD =127º. Then the value of x and y is(A) x = 55º and y = 72º(B) x = 50° and y = 77º(C) x = 60º and y = 67º(D) x = 30º and y = 54
Question
Solution 1
To find the values of x and y, we need to use the properties of parallel lines and angles.
Given that AB || CD, we can conclude that the alternate interior angles are congruent. Therefore, ∠APQ = ∠PRD.
We are given that ∠APQ = 50º and ∠PRD = 127º.
Since ∠APQ = ∠PRD, we can set up the equation:
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If AB || CD, APQ = 50º and PRD =127º. Then the value of x and y is(A) x = 55º and y = 72º(B) x = 50° and y = 77º(C) x = 60º and y = 67º(D) x = 30º and y = 54
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