Question

如图,角BOC=90度,OM平分AOC,OM平分角AOB,求MON的度数 .

Answer 1

OM平分∠AOC,则∠AOM=1/2 ∠AOC；OM平分∠AOB,则∠AON=1/2 ∠AOB.

∠MON=∠AOM+∠AON=1/2 ∠AOC+1/2 ∠AOB

=1/2 (∠AOC+∠AOB)=1/2∠BOC=1/2 X90°=45°