Since this is an angle bisector LMO is congruent to NMO
7x - 27 = 2x + 33
Subtract 2x
5x - 27 = 33
Add 27
5x = 60
Divide by 5
x = 12
Since it is asking for LMN plug in x to LMO and NMO equations
LMO:
7(12) - 27 = 57
NMO:
2(12) + 33 = 57
LMN:
57° + 57° = 114
So angle LMN is 114°
