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In fig., Ab||CD angle APQ= 50°, …

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In fig., Ab||CD angle APQ= 50°, angle PRD=127° then the value of x and y respectively
  • 1 answers

Preeti Dabral 2 years, 1 month ago

We are given that ABCD,APQ=50 and PRD = 127°
We need to find the value of x and y in the figure.
APQ = x = 50° (Alternate interior angles)
PRD = APR = 127° (Alternate interior angles)
APR = QPR + APQ.
127° = y + 50°
 y = 77°.
Therefore, we can conclude that x = 55° and y = 77°
Alternatively, 127° = y + x (because exterior angle is equal to the sum of interior opposite angles).
so, ​​​​​​127° = y + 50°
which gives, x = 50° and y = 77°

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