如图OC⊥AB，DO⊥OE，图中与∠COE互余的角为，若∠COD=60°，则∠AOE=度．

Question

如图OC⊥AB，DO⊥OE，图中与∠COE互余的角为______，若∠COD=60°，则∠AOE=______度．

Answer 1

①∵OC⊥AB，DO⊥OE，∴∠DOE=∠COB=∠AOC=90°，∴∠COE+∠COD=∠COE+∠BOE=90°，∴与∠COE互余的角为∠COD，∠BOE；②由①知∠COE+∠COD=90°，而∠COD=60°，∠COE=90°-60°=30°，∴∠AOE=∠AOC+∠COE=90°+30...