已知:如图,点O在直线AB上,OD平分∠AOC,OE平分∠COB,则∠DOE=______°

2025-06-29 11:42:21
推荐回答(1个)
回答1:

(1)∵OD平分∠AOC,
∴∠AOD=∠COD=

1
2
∠AOC,
同理,∠COE=∠BOE=
1
2
∠COB,
∵∠AOC+∠COB=180°,
∴∠COD+∠BOE=
1
2
∠AOC+
1
2
∠COB=
1
2
(∠AOC+∠COB)=
1
2
×180°=90°.
即∠DOE=90°;
故答案是:90.