已知∠AOC=150°,OB是∠AOC的平分线,OF,OE分别是∠AOB和∠BOC的平分线,求∠EOF的度数,
问题描述：
已知∠AOC=150°,OB是∠AOC的平分线,OF,OE分别是∠AOB和∠BOC的平分线,求∠EOF的度数,
答
∠EOF = ∠EOB + ∠FOB
= ∠AOB/2 + ∠COB/2
= (∠AOB + ∠COB)/2
= ∠AOC/2
= 150°/2
= 75°