# In ΔABC, O is the circumcentre of the triangle and ∠BOC = 60°, then what will be the value of ∠BAC?

1. 90°
2. 30°
3. 60°
4. 45°

Option 2 : 30°

## Detailed Solution

Given:

O is circumcentre

∠BOC = 60°

Formula used:

The angle subtended at the center is double the angle subtended at the circle

Calculation:

∠BOC = 2 × ∠BAC

⇒ 60° = 2 × ∠BAC

⇒ ∠BAC = 30°

∴ ∠BAC is 30°
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