题干

如图,∠AOB=∠COD=90°,OE平分∠AOC,∠AOD=120°.

(1)求∠BOC的度数;

(2)求∠BOE的度数.

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答案(点此获取答案解析)

解:(1)∵∠AOB=∠COD=90°,∠AOD=120°,

∴∠BOC=360°﹣∠AOB﹣∠COD﹣∠AOD,

=360°﹣90°﹣90°﹣120°,

=60°;

(2)∵∠AOB=90°,∠BOC=60°,

∴∠AOC=∠AOB+∠BOC=90°+60°=150°,

∵OE平分∠AOC,

∴∠COE=

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