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In the given figure, $PA$ and $PB$ are tangents from external point $P$ to a circle with centre $C$ and $Q$ is any point on the circle. Then the measure of $\angle AQB$ is

- (a)$62\frac{1}{2}^{\circ}$
- (b)$55^{\circ}$
- (c)$125^{\circ}$
- (d)$90^{\circ}$
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(A) $62\frac{1}{2}$