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If tangents PA and PB drawn from an external point P to the circle with centre O are inclined to each other at an angle of $80^{\circ}$ as shown in the given figure, then the measure of $\angle POA$ is :

- (a)$40^{\circ}$
- (b)$50^{\circ}$
- (c)$60^{\circ}$
- (d)$80^{\circ}$
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Sol. (B) $50^{\circ}$