如图,直线AB,CD相交于O,OE平分角AOD,角AOC=60度,求角BOE.

问题描述:

如图,直线AB,CD相交于O,OE平分角AOD,角AOC=60度,求角BOE.

∵AB和CD交于O
∠AOC=60°
∴∠AOD=180°-∠AOC=180°-60°=120°
∵OE平分∠AOD
∴∠AOE=1/2∠AOD=1/2×120°=60°
∴∠BOE=180°-∠AOE=180°-60°=120°