Answer: ∠LMN= 112°
Explanation:
Given: Joseph bisects and angle LMN and labels a point on the bisector as o.
i.e. MO is a bisector of angle LMN.
Since Angle bisector divides an angle into two equal halves.
So Mo divides angle LMN in equal angles ∠LMO and ∠OMN.
If ∠LMO = 58°
then, ∠LMN= 2 (58°) = 112°
Hence, the measure of ∠LMN= 112°