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A triangle ABC is inscribed in a circle. The tangent at A meets the extended sides BC and AB at points P and Q, respectively. If ∠ACB = 30° and ∠BCA = 60°, find ∠PAQ.

Q: Answer-A triangle ABC is inscribed in a circle. The tangent at A meets the extended sides BC and AB at poin...

Since ACB and BCA are given, the angle subtended by the arc AB at P PAQ is supplementary to ACB by the tangent-secant angle theorem, so PAQ 180 - ACB 180 - 30 150. Correct answer c 150

A 90°

B 120°

C 150°

D 180°

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A triangle ABC is inscribed in a circle. The tangent at A meets the extended sides BC and AB at points P and Q, respectively. If ∠ACB = 30° and ∠BCA = 60°, find ∠PAQ.

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