Question

如图,∠AOB=90°,∠AOC为锐角,OM平分∠AOC,ON平分∠BOC.

Answer 1

∠MON=∠NOC-∠MOC=0.5∠BOC-0.5∠AOC=0.5∠AOB=45°

不变,∠BOC-∠AOC=∠AOB=90°,所以∠MON始终45°.