如图,∠AOB=35°40′,∠BOC=50°30′,∠DOC=21°18′,OE平分∠AOD,求∠BOE的度数.
问题描述:
如图,∠AOB=35°40′,∠BOC=50°30′,∠DOC=21°18′,OE平分∠AOD,求∠BOE的度数.
答
∠AOD=∠AOB+∠BOC+∠COD=35°40'+50°30'+21°18'=107°28',
根据OE平分∠AOD,∠AOE=
∠AOD=53°44′,1 2
∴∠BOE=∠AOE-∠AOB=53°44'-35°40'=18°4'.