直线AB、CD相交于点O,OE平分∠BOD,OF平分∠COE,∠AOD:∠BOE=4:1,求∠EOF的度数.
人气:154 ℃ 时间:2020-05-08 14:12:04
解答
∠EOF=75°∵∠AOD:∠BOE=4:1,∠AOD=∠COB∴∠COB:∠BOE=4:1∵OE平分∠BOD∴∠EOD=∠BOE∴∠COB:∠BOE:∠EOD=4:1:1又∵∠COB+∠BOE+∠EOD=180°∴∠COB=120°,∠BOE=30°,∠EOD=30°∴∠COE=∠COB+∠BOE=150°∵OF...
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