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

Question:

In the given figure, O is the centre of a circle and ACB = 30°. Then, ∠AOB = ?
(a) 30°
(b) 15°
(c) 60°
(d) 90°

Figure

 

Solution:

(c) 60°
We know that the angle at the centre of a circle is twice the angle at any point on the remaining part of the circumference.
Thus, ∠AOB = (2 × ∠ACB) = (2 × 30°) = 60°

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