∠AOD:∠BOE=7:1
∴∠AOD=7∠BOE
∵OE平分∠BOD
∴∠BOE=∠DOE=1/2∠BOD
即∠BOD=2∠BOE
∵∠AOD+∠BOD=180°
∴7∠BOE+2∠BOE=180°
∠BOE=∠DOE=20°
∴∠BOD=2∠BOE=2×20°=40°
∴∠AOC=∠BOD=40°
∵∠COE+∠DOE=180°
∴∠COE=180°-∠DOE=180°-20°=160°
∵OF平分∠COE
∴∠COF=∠EOF=1/2∠COE=1/2×160°=80°
∴4AOF=∠AOC+∠COF=40°+80°=120°