Question

If a chord AB subtends an angle of 60° at the centre of a circle, then the angle between the tangents at A and B is ______ 

Options

• 60°

• 120°

• 80°

• 100°

Answer 1

If a chord AB subtends an angle of 60° at the centre of a circle, then the angle between the tangents at A and B is 120°.

Explanation:

Observe the figure

Using properties of circles and tangents, the angle between tangents is:

= 180° - 60°

= 120°