Question

已知∠AOC与∠BOD有公共顶点O,OM平分∠AOB,ON∠COD,若∠MON=α,∠BOC=β,试用α,β表示∠AOD

Answer 1

∠AOD=∠AOM+∠MON+∠NOD =(∠AOM+∠NOD)+∠MON =(∠MOB+∠CON)+∠MON =(∠MOB+∠CON)+∠MON =(a-b)+a =2α-β