∠AOC=∠COB-40°
∠AOC+∠COB=180°
2∠COB-40=180°
∠COB=110=∠AOD
所以∠DOB=70°
又OE平分角BOD
∠DOE=35°
∠AOE=∠DOE+∠AOD=110°+35°=145°