The bisectors of exterior angles at B and C of Δ ABC meet at O, if ∠A= x°, then ∠BOC =
∠OBC = 180o - ∠B -
(180o - ∠B)
∠OBC = 90o -
∠B
And,
∠OCB = 180o - ∠C -
(180o - ∠C)
∠OCB = 90o -
∠C
In ![]()
∠BOC + ∠OCB + ∠OBC = 180o
∠BOC + 90o -
∠C + 90o -
∠B = 180o
∠BOC =
(∠B + ∠C)
∠BOC =
(180o - ∠A) [From
]
∠BOC = 90o -
∠A
∠BOC = 90o - ![]()
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