Question

if Angle LMN = 84 degrees and Angle LMP = 49 degrees what is the measure of angle NMP

Answer 1

Angle LMN, LMP and NMP meet at a vertex or point, M. The sum of the angles at a point is 360 degrees. This means that

angle LMN + angle LMP + angle NMP = 360

84 + 49 + angle NMP = 360

133 + angle NMP = 360

Angle NMP = 360 - 133 = 227 degrees