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In the given figure, $O$ is the centre of the circle and $PQ$ is the chord. If the tangent $PR$ at $P$ makes an angle of $50^\circ$ with $PQ$, then the measure of $\angle POQ$ is :

- (a)$50^\circ$
- (b)$40^\circ$
- (c)$100^\circ$
- (d)$130^\circ$
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(c) $100^\circ$