Answer:
∠ LMP = 53° , ∠ PMN = 127°
Explanation:
∠ LMP and ∠ PMN are a linear pair and sum to 180°
sum the 2 angles, equate to 180 and solve for x
2x + 7 + 6x - 11 = 180 ( collect like terms on left side )
8x - 4 = 180 ( add 4 to both sides )
8x = 184 ( divide both sides by 8 )
x = 23
Then
∠ LMP = 2x + 7 = 2(23) + 7 = 46 + 7 = 53°
∠ PMN = 6x - 11 = 6(23) - 11 = 138 - 11 = 127°