已知点O在直线AC上,∠AOD=4分之1∠AOB.OE在∠BOC内,∠BOE=2分之1∠EOC,∠DOE=90度,求∠EOC的度数
问题描述：
已知点O在直线AC上,∠AOD=4分之1∠AOB.OE在∠BOC内,∠BOE=2分之1∠EOC,∠DOE=90度,求∠EOC的度数
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答
设 ∠EOC = X ,则有：∠BOE = (1/2)∠EOC = (1/2)X ；∠BOC = ∠BOE+∠EOC = (3/2)X ；∠AOB = 180°-∠BOC = 180°-(3/2)X ；∠AOD = (1/4)∠AOB = 45°-(3/8)X ；∠BOD = ∠AOB-∠AOD = 135°-(9/8)X .已知,∠BOD+...