∠EOF=75°解:∵∠AOD:∠BOE=4:1,∠AOD=∠COB∴∠COB:∠BOE=4:1∵OE平分∠BOD∴∠EOD=∠BOE∴∠COB:∠BOE:∠EOD=4:1:1又∵∠COB+∠BOE+∠EOD=180°∴∠COB=120°,∠BOE=30°,∠EOD=30°∴∠COE=∠COB+∠BOE=150°∵OF平分∠COE∴∠FOE=∠COE/2=75°