Question

if AB//CD, angle APQ=50 and angle PRD=127 then find x,y

Answer 1

Hello mate ☺

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Solution:

AB∥CD, ∠APQ=50° and ∠PRD=127°  (Given)

∠x=50°=∠APQ       (Alternate Interior Angles)

∠APR=∠PRD          (Alternate Interior angles)

⇒50°+∠y=127°

⇒∠y=127°−50°=77°

Therefore, ∠x=50° and ∠y=77°

I hope, this will help you.☺

Thank you______❤

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Answer 2

Answer:

Use property of Alternate interior angles

∠APR = ∠PRD

50° + y = 127°

y = 127° − 50°

y = 77°

use same property of Alternate interior angles

∠APQ = ∠PQR

50° = x

∠ x = 50° and y = 77°