The Question : Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segment joining the points of contact to the centre.
Solution for the question :
Solution:∠OAP + ∠OBP + ∠APB + ∠AOB = 3600 ⇒ 900 + 900 + ∠APB + ∠AOB = 3600 (∵ Tangent ⊥ radius) ⇒ ∠APB + ∠AOB = 1800
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