已知角AOB=90度,角BOC=30度,OM平分AOC,ON平分BOC,求MON

问题描述:

已知角AOB=90度,角BOC=30度,OM平分AOC,ON平分BOC,求MON
已知角AOB=x度,角BOC=30度,OM平分AOC,ON平分BOC,求MON
已知角AOB=90度,角BOC=y度,(BOC为锐角)OM平分AOC,ON平分BOC,求MON

估计原题中,OC在角AOB内部.解:(1)∵ON平分∠BOC.∴∠CON=(1/2)∠BOC=15°;同理可求:∠MOC=(1/2)∠AOC=(1/2)(90°-∠BOC)=(1/2)*60°=30°.∴∠MON=∠MOC+∠CON=45°.(2)∵ON平分∠BOC.∴∠CON=(1/2)∠BOC=(1/2)y;同...