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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° 

Answer (Detailed Solution Below)

Option 2 : 30° 
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Detailed Solution

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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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