Question

Use the adjoining figure to find: (i) ∠BOD (ii) ∠AOC

Answer 1

∠AOD = 72°

∠BOC = 64°

But sum of angles on the same side of a line = 180°

∴ ∠AOD + ∠COD + ∠BOC = 180°

72° + ∠COD + 64° = 180°

∠COD = 180° - (72° + 64°)

= 180° - 136° = 44°

(i) Now ∠BOD = ∠BOC + ∠COD

= 64° + 44° = 108°

(ii) ∠AOC = ∠AOD + ∠COD

= 72° + 44° = 116°