Question

If the angle between two radii of a circle is 130° then the angle between the tangents at the ends of the radii is ______.

Options

• 65°

• 40°

• 50°

• 90°

Answer 1

If the angle between two radii of a circle is 130° then the angle between the tangents at the ends of the radii is 50°.

Explanation:

If the central angle ∠AOB = 130°, the tangents at A and B are each perpendicular to OA and OB. The angle between the two tangents is supplementary to the central angle, so it is 180° – 130° = 50°.