如图角AOB=90°,OC平分角AOB,OE平分OC∠AOD若角EOF=60°,求角AOD的度数.

如图角AOB=90°,OC平分角AOB,OE平分OC∠AOD若角EOF=60°,求角AOD的度数.
如图角AOB=90°,OC平分角AOB,OE平分OC∠AOD若角EOF=60°,求角AOD的度数.

如图角AOB=90°,OC平分角AOB,OE平分OC∠AOD若角EOF=60°,求角AOD的度数.
∵∠COF =∠DOE = 90°
∴∠COD =∠EOF
∵OC平分角AOD,OE平分角离岸
∴∠COD =∠AOC,∠EOF =∠京东方 BR />∴∠COD =∠AOC =∠EOF =∠京东方
∴∵∠COF = 90°
∴∠AOC +∠EOF +∠BOE = 90°
∴∠AOC = 30°
∴AOD = 2×30°= 60°