Question

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.

Answer 1

In BOC,

∠BOC + ∠OCB + ∠OBC = 180°

∠BOC + 1/2 × (80) + 1/2 × (40) = 180°

∠BOC = 180° - 70

∠BOC = 110°