The sides AB and AC of ΔABC have been produced to D and

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The sides AB and AC of ΔABC have been produced to D and E respectively. The bisectors of ∠CBD and ∠BCE meet at O. If ∠A = 40°, then ∠BOC is equal to:

1. 60°
2. 65°
3. 75°
4. 70°
5. None of these

Correct Option: D

As we know the formula,

∠BOC = 90° -	1	∠A
	2

∴∠BOC = 90° -	1	(40°)
	2

= 90° - 20°
∠BOC = 70°