Question

PQRS is a cyclic quadrilateral. Given ∠QPS =73⁰, ∠PQS=55⁰ and ∠PSR=82⁰. Find ∠RQS

Answer 1

Here, PQRS is a cyclic quadrilateral.
Thus, the sum of opposite angles are supplementary
Here, ∠PSR=82⁰ and ∠PQR are opposite angles.
∠PSR +∠PQR=180⁰
∠PQR=98⁰
∠PQS +∠RQS=∠PQR
55⁰+∠RQS=98⁰
∠RQS=43⁰