∵∠AOC=60°,
又∵OM平分∠AOB,ON平分∠BOC
∴∠AOB=2∠MOB,∠BOC=2∠BON
∴2∠MON=∠AOC
∴∠MON=(1/2)*∠AOC
=30°
同理∠AOC=2∠MON
=2*41°
=82°
规律:∠AOC=2∠MON
∵∠AOC=60°,
又∵OM平分∠AOB,ON平分∠BOC
∴∠AOB=2∠MOB,∠BOC=2∠BON
∴2∠MON=∠AOC
∴∠MON=(1/2)*∠AOC
=30°
同理∠AOC=2∠MON
=2*41°
=82°
规律:∠AOC=2∠MON