In Δ ABC, if ∠B = 60°, ∠C = 80° and the bisectors of angles ∠ABC and ∠ACB meet at a point O, then find the measure of ∠BOC.
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In BOC,
∠BOC + ∠OCB + ∠OBC = 180°
∠BOC + 1/2 × (80) + 1/2 × (40) = 180°
∠BOC = 180° – 70
∠BOC = 110°