Question

PQRS is a cyclic quadrilateral. Given angle QPS=73°, angle PQS= 55° and angle PSR=82°, calculate: angle QRS,angle RQS,angle PRQ and angle PSQ​

Answer 1

Step-by-step explanation:

In △PQS

∠QPS+∠PSQ+∠PQS=180

o

⇒∠PSQ=180

o

−(73

o

+55

o

)=52

o

Since ∠PSQ and ∠PRQ are in the same segment of the circle, they must be equal.

Therefore, ∠PRQ=52

.