Answer:
∠ LMP = 77° , ∠ NMP = 103°
Explanation:
∠ LMP and ∠ MNP are a linear pair and sum to 180°
sum the 2 angles, equate to 180 and solve for x
- 16x + 13 - 20x + 23 = 180 ( simplify left side )
- 36x + 36 = 180 ( subtract 36 from both sides )
- 36x = 144 ( divide both sides by - 36 )
x = - 4
Then
∠ LMP = - 16x + 13 = - 16(- 4) + 13 = 64 + 13 = 77°
∠ NMP = - 20x + 23 = - 20(- 4) + 23 = 80 + 23 = 103°