An equilateral triangle ABC is inscribed in a circle with centre O . The measures of ∠ BOC is

Question

An equilateral triangle ABC is inscribed in a circle with centre O . The measures of &#x2220; BOC is

Philoid · Accepted Answer

Given that O is the centre of circle.

Triangle ABC is an equilateral triangle

∠A = ∠B = ∠C = 60°

We Know that,

An angle subtended by an arc at the centre of the circle is double the angle subtended at any point on the circle.

∠BOC = 2 ∠BAC

∠BOC = 2 ∠A

∠BOC = 120°