Question

in the given figurein the given figure angle pqr is equal to angle prq then prove that angle pqr is equal to angle prt

Answer 1

Angle PQR=angle PQR
180-Angle PQR=180-angle PQR
angle PQS =angle PRT

Hope this helps

Answer 2

Solutions:

Since rays QP and RP stand on ST.

Hence, ∠SQP + ∠PQR = 180° and ∠SRP + ∠PRT = 180°

=> ∠PQS + ∠PQR = 180° and ∠PRQ + ∠PRT = 180°

=> ∠PQS + ∠PQR = ∠PRQ + ∠PRT

=> ∠PQS + ∠PQR = ∠PQR + ∠PRT ________[Since, ∠PRQ = ∠PQR (Given)]

=> ∠PQS = ∠PRT

( Refer to the attachment )