Mathematics 4024 · O Level · Circle theorems I

Circle theorems I — practice question

$PQRS$ forms a cyclic quadrilateral. The line $APB$ is tangent to the circle at $P$. Angle $SPB = 37^{\circ}$ and angle $PSQ = 85^{\circ}$.
(a)[1]

Determine angle $PQS$.

(b)[2]

Determine angle $QRS$.

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