In the given figure, O is the centre of a circle and ∠ACB = 30°. Then, ∠AOB = ?

Question

In the given figure, O is the centre of a circle and ∠ ACB = 30°. Then, ∠ AOB = ?

Philoid · Accepted Answer

Given:

We know that

2 × ACB = AOB (The angle subtended by an arc at the center is twice the angle subtended by the same arc on any point on the remaining part of the circle).

2 × 30 = AOB

AOB = 60.

AOB = 60