Question

In the given figure $O$ is the centre of the circle and $\angle PQR={40}^{\circ }$, find the measure of $\angle POR$.

Answer 1

We know, the angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle.

In given circle,

$\angle POR=2\angle PQR$

$\therefore \angle POR=2\times {40}^{\circ }$ $=$${80}^{\circ }$