Question

In fig , pqrs is a cyclic Quadrilateral, and the side ps is extended to the point a.if angle pqr =80 find angle asr

Answer 1

If angle PQR=80°, then angle PSR=100° ............(opposite angles of a cyclic quadrilateral are supplementary)

So, angle psr + asr=180° (linear pair)

Therefore, angle ASR= 180-100=80°

Answer 2

if angle PQR=80°, then angle PSR=100° ............(opposite angles of a cyclic quadrilateral are supplementary)

So, angle psr + asr=180° (linear pair)

Therefore, angle ASR= 180-100=80°