Question

in the above figure if PQ equal PT and angle TPS is equal angle qps prove that angle PRS isosceles​

Answer 1

I think this would be the figure.....


Angle TPS=QPR....1

ANGLE PRQ+PRS=180°....(ASP OF A TRIANGLE)

SLY,

ANGLE PST+PSR=180°

THEREFORE, ANGLE PRS=180-ANGLE PRQ

AND,

ANGLE PSR=180-ANGLE PRQ

THEREFORE, ANGLE PSR=ANGLE PRS

THEREFORE, TRIANGLE PSR IS ISOSCELES.