∵∠ABC=60°∴∠BAC+∠BCA=120°∵AD、CE是∠BAC、∠BCA的角平分线∴∠OAC+∠OCA=60°∴∠AOC=120°∴∠AOE=∠COD=60°（对顶角,圆周角=360°）作∠AOC的角平分线OM交AC于M则∠AOE=∠AOM=60°∠COM=...