Tangents TP and TQ are drawn to a circle with centre O from an external point T such that ∠POQ = 110°. Then ∠PTQ is equal to:
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Question

Tangents TP and TQ are drawn to a circle with centre O from an external point T such that ∠POQ = 110°. Then ∠PTQ is equal to:

Accepted Answer

The sum of the angles between the tangents and the radius at the points of contact is 180°. Therefore, ∠PTQ + ∠POQ = 180° ⇒ ∠PTQ = 180° - 110° = 70°.

Circles