∠AOD + ∠AOC = 180° (как смежные углы)
∠AOD = 1/2 ∠AOC => 1/2 ∠AOC + ∠AOC = 180°
3/2 ∠AOC = 180° => ∠AOC = 120°
∠AOD = 1/2 ∠AOC = 60°
∠BOD = 180° - ∠AOD = 180° - 60° = 120°.
Ответ: 120°