如图,∠AOB=x°,∠EOF=y°,OE平分∠AOC,OF平分∠BOC

问题描述:

如图,∠AOB=x°,∠EOF=y°,OE平分∠AOC,OF平分∠BOC
(1)请用x的代数式来表示y
(2)如果∠AOB+∠EOF=156°,则∠EOF是多少度?

∠AOB = ∠AOC - ∠BOC = 2∠EOC - 2∠COF = 2∠EOF
x = 2y
y = x/2
∠AOB + ∠EOF = 156°
3∠EOF = 156°
∠EOF = 52°