Question

In the figure given below, O is the centre of the circle and the points A, P, Q and C are con-cyclic. If ∠ PAQ = 43⁰ , find ∠ PCQ and ∠ POQ. ​

Answer 1

Answer:

∠ PAQ = ∠ PCQ = 43 (angles subtended by the same arc)

∠ POQ = 2∠ PAQ = 86⁰  (  the angle subtended by the arc at the centre is double the angle subtended by it at any point of the circle)

Therefore, ∠ PCQ = 43⁰   AND ∠POQ = 86⁰