Question

In the given figure, if AB||CD, ∠APQ=50° and ∠PRD=127°, find x and y.

Answer 1

Hi , there !!


AB || CD


< APQ = < PQR { alternate interior Angle }

< APQ = 50 ° = < x


< X = 50 °



< x + < y = 127 ° { sum of two interior angle equal to exterior angle }


50 ° + <y = 127°


<Y = 127- 50

< Y = 77




thanks !!

Ranjan

Answer 2

Hola Sir!!

Your answer :-

a) To find x°

=> Angle APQ = 50°

=> Angle APQ = x° = 50° ( alternate interior angles )

b) To find y°

=> Angle PRD = 127°

=> 127° = x° + y°

=> 127° = 50° + y°

=> 127° - 50° = y°

=> 77° = y°

Hence, x° = 50°, y° = 77°

☆ Hope it helps ☆