Question

已知角AOB等于90度,OE平分角BOC,OF平分角AOC,求∠EOF的度数

Answer 1

①∠FOE＞90°

∵∠BOE=∠COE,∠COF=∠AOF,∠FOE=∠COF+∠COE,

∠COA＋∠COB＋90°＝360°

∴∠EOF＝135°

②∠EOF＜90°,

∠EOF＝90°／2＝45°

综上,∠EOF=45°或135°