This problem appears to be an application of the Angle Addition Postulate. If point P lies on the interior of angle NML, then m∠LMP + m∠NMP = m∠NML
m∠LMP + m∠NMP = m∠NML
x+11 + x = 137
Solve for x. Once you have the value of x, m∠LMP = x+11 and m∠NMP = x. Don't forget the units (degrees).