Answer:
x = 17
Explanation:
the angle LMP is composed of the sum of the 2 angles LMN and PMN, that is
∠ LMN + ∠ PMN = ∠ LMP ( substitute values )
2x + 5 + 3x + 10 = 100
5x + 15 = 100 ( subtract 15 from both sides )
5x = 85 ( divide both sides by 5 )
x = 17