Prove with reason that if two tangents are drawn to a circle from a point outside it then the line segments joining the point of contact and the exterior point are equal and they subtend equal angles at the centre.
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It has been proved that the angle between the two tangents drawn from an external point to a circle, that is, ∠APB is supplementary to the angle subtended by the line segment joining the point of contact at the centre, that is, ∠AOB. Thus, ∠APB + ∠BOA = 180°.
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