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In the given figure, PT is tangent to a circle with centre O. Chord PQ subtends an angle of $65^\circ$ at the centre. The measure of $\angle QPT$ is :

- (a)$65^\circ$
- (b)$57.5^\circ$
- (c)$67.5^\circ$
- (d)$32.5^\circ$
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(D) $32.5^\circ$