Question

The angle subtended by an arc at the centre is doubled the angle subtended by it at any point on the remaining part of the circle . Prove it

Answer 1

To Prove : ∠PAQ = 90° Proof : Now, POQ is a straight line passing through center O. ∴ Angle subtended by arc PQ at O is ∠POQ = 180° Also, By theorem 10.8 : The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

Answer 2

refer the answer given below