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.
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![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.](/uploads/image/z/8739875-11-5.jpg?t=%E5%A6%82%E5%9B%BE%E8%A7%92AOB%3D90%C2%B0%2COC%E5%B9%B3%E5%88%86%E8%A7%92AOB%2COE%E5%B9%B3%E5%88%86OC%E2%88%A0AOD%E8%8B%A5%E8%A7%92EOF%3D60%C2%B0%2C%E6%B1%82%E8%A7%92AOD%E7%9A%84%E5%BA%A6%E6%95%B0.)
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°