因为CD为直线,点O在CD上,
所以,∠AOD+∠AOC=180°
又因为,∠AOD-∠AOC=120°
解得,∠AOD =150°,∠AOC=30°
所以,∠BOD=∠AOC=30°(对顶角相等)
而,OE平分∠BOD
所以,∠DOE = (1/2)*∠BOD =15°
所以,∠AOE = ∠AOD +∠DOE = 150° + 15° = 165°
因为CD为直线,点O在CD上,
所以,∠AOD+∠AOC=180°
又因为,∠AOD-∠AOC=120°
解得,∠AOD =150°,∠AOC=30°
所以,∠BOD=∠AOC=30°(对顶角相等)
而,OE平分∠BOD
所以,∠DOE = (1/2)*∠BOD =15°
所以,∠AOE = ∠AOD +∠DOE = 150° + 15° = 165°