∠AOE = 0.4∠BOF.
∠AOB = 180° (развернутый угол).
∠AOE + ∠BOE = 180°.
0.4∠BOF + ∠BOE = 180°.
∠BOF + ∠AOE = 180.
∠BOF + 0.4∠BOF = 180.
1.4∠BOF = 180.
∠BOF = 180/1.4 = 128.57°.
∠BOE = 180 - 0.4 * (180/1.4) = 180 - (72/1.4) = 180 - 51.43 = 128.57°.
∠AOE = 51.43
∠BOF = **128.57°**
∠BOE = **128.57°**