Question

In the above figure, $\angle POR$ is (there $O$ is centre of Circle)

• A. ${60}^{\circ }$
• B. ${80}^{\circ }$
• C. ${100}^{\circ }$
• D. ${160}^{\circ }$

Answer 1

The correct option is D ${160}^{\circ }$

$\angle PQR={50}^o+{30}^o={80}^o$

Theorem: Angle subtended by an arc at the centre is double the angle subtended by the same arc at the circumference of a circle

$\therefore \angle POR=2\times 80={160}^{\circ }$