Answer:
108°
Step-by-step explanation:
Triangle LPM is similar to triangle MPN (they share MP, LP=NP and they both contain right angles.
This means that ∠LMP = ∠ PMN:
∠LMP = ∠ PMN
4x+2 = 7x-37
3x=39
x=13
∠LMN = ∠LMP + ∠ PMN
= 4(13)+2 + 7(13)-37
= 54 + 54
=108°
