Question

Two tangents are drawn to a circle and the angle between them is ${30}^{\circ }$. What is the angle between the radii that are drawn at the point of contact of these two tangents.

• A. ${30}^{\circ }$
• B. ${60}^{\circ }$
• C. ${90}^{\circ }$
• D. ${150}^{\circ }$

Answer 1

The correct option is D ${150}^{\circ }$

Given,

The angle between the two tangents are 30${}^{\circ }$

As radius is perpendicular to tangent

in quad. $\angle O+\angle P=180$

$\angle O+30=180⟹\angle O={150}^{\circ }$