Question

Prove that 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 1

Given :

An arc PQ of a circle subtending angles POQ at the centre O and PAQ at a point A on the remaining part of the circle.

To prove : ∠POQ=2∠PAQ

To prove this theorem we consider the arc AB in three different situations, minor arc AB, major arc AB and semi-circle AB.

Construction :

Join the line AO extended to B.

Answer 2

hope it will help you . plz mark me as brainliest