text: # 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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