Question

A tangent from a point P outside the circle meets the circle at M. Then $\angle MOP=$ , if $\angle MPO={30}^{\circ }$.

• A. ${60}^{\circ }$
• B. ${45}^{\circ }$
• C. ${30}^{\circ }$

Answer 1

The correct option is A ${60}^{\circ }$

Angle between MP and OM is ${90}^{\circ }$ and $\angle MPO={30}^{\circ }.$

$\therefore \angle MOP={180}^{\circ }-({90}^{\circ }+{30}^{\circ })={60}^{\circ }$