Practicing Success
Two tangents AP and AQ are drawn to a circle with centre O from an external point A, where P and Q are points on the circle. If the ∠PAQ = 70°, then the ∠AOP is equal to: |
50° 45° 55° 60° |
55° |
We have, ∠PAQ = 70° ∠PAQ + ∠POQ + ∠OPA + ∠OQA = 360° = 70° + ∠POQ + 90° + 90° = 360° = ∠POQ = 360° - 70° - 90° - 90° = ∠POQ = 110° = ∠AOP = ∠AOQ = 110°/2 = ∠AOP = 55° |