Question

已知OE平分角AOB,C为角AOE内一点,角BOC=2角AOC,若角EOC=14度,求AOC的度数.

Answer 1

∠BOC=2∠AOC

∠AOB=∠AOC+∠BOC=3∠AOC

∠AOE=∠BOE=1/2∠AOB

∠AOC+∠EOC=1/2∠AOB

2∠AOC+2∠EOC=∠AOB

∴2∠AOC+2∠EOC=3∠AOC

∠AOC=2∠EOC=2×14°=28°