Question

if AB PARELLAL TO CD FIND X &Y ​

Answer 1

Answer:

y = 77⁰

x = 50⁰

Step-by-step explanation:

As AB and CD are parallel

then, angle (QRD) = 180⁰

Given that angle(PRD) = 127⁰

Therefore, angle(QRP) = 180⁰ – 127⁰ = 53⁰

and angle(APC) = 50⁰

As angle APR = angle PRD (opp angles are equal)

=> 50⁰ + y = 127⁰

=> y = 127⁰ – 50⁰

=> y = 77⁰

And for finding x we have two method

First method :

angle(APC) = angle(RQP) (as opp angle are equal)

=> 50⁰ = x

Second method :

angle(QPR) + angle(RQP) + angle(QRP) = 180⁰ (Sum of interior angle of triangle is 180⁰)

=> 77⁰ + x + 53⁰ = 180⁰

=> 130⁰ + x = 180⁰

=> x = 180⁰ – 130⁰

=> x = 50⁰

As answer is same from both method I preferred first to be best and second method is best for explaining concept.

Answered by –

Aaditya Singh