Mathematics 4024 · O Level · Circle theorems I

Circle theorems I — practice question

The points $A$, $B$ and $C$ are on a circle with centre $O$. The straight line $PBQ$ is tangent to the circle at $B$, and $O$, $C$ and $Q$ lie on one straight line. $\angle BQO = 36^\circ$ and $\angle BAC = x^\circ$.
(main)[2]

Determine the value of $x$.

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