Question

"Question 3 In the given figure, ∠PQR = ∠PRQ, then prove that ∠PQS = ∠PRT.

Class 9 - Math - Lines and Angles Page 97"

Answer 1

<pqr=<prq(can written as)
180degree-<pqs=180-<prq(180 se 180 Kat Katha)
<pqs=<prt
hence proved

Answer 2

given angle PQR =PRQ. (1)

To prove angle POS= angle PRT
anglePQS + angle PQR = 180 (L.P.A) (2)
anglePRQ + angle PRT = 180 (L.P.A) (3)
from (2)&(3)
anglePOS +angle PQR = angle PRQ + angle PRT
from (1)
anglePQS + angle PRQ = anglePRQ + angle PRT
after cancelling
angle PQS = angle PRT
HENCE,PROVED