∠AOD=∠AOB+∠BOC+∠COD=35°40'+50°30'+21°18'=107°28'，
根据OE平分∠AOD，∠AOE＝

1

2

∠AOD＝53°44′，
∴∠BOE=∠AOE-∠AOB=53°44'-35°40'=18°4'．