∠AOB=120°,OC是∠AOB 外任意一条射线,OD平分∠BOC,OE平分∠AOC,求∠EOD的度数
问题描述:
∠AOB=120°,OC是∠AOB 外任意一条射线,OD平分∠BOC,OE平分∠AOC,求∠EOD的度数
答
∵ OD平分∠BOC,OE平分∠AOC
∴ ∠AOE = ∠EOC ,∠COD = ∠DOB
∠AOB = 60° = ∠AOE + ∠EOC + ∠COD + ∠DOB = 2*∠EOC + 2*∠COD = 2*∠EOD
∴∠EOD = 120° / 2 = 60°