If the measure of angle LMP is 11 degrees more than the measure of angle NMP and the measure of angle NML = 137 degrees, find LMP and NMP

Question

Please help this is for school, please show steps and how to solve as well as the answer please.

Answer 1

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).