Question

in the given figure anglePQR = angle PRQ, then prove that angle PQS= anglePRT

Answer 1

The answer is in the picture

From (1) & (2)

/_PQS = /_PRT

Hence proved

Answer 2

in triangle PQR
<PQR + <PQS = 180 .........(1)
<PRQ + <PRT =180 .... .. . .....(2)

Conparing both equation
<PQR+<PQS=<PRQ+<PRT
WE KNOW THAT <PQR =<PRQ
SO.
<PQS=<PRT