Answer:
x = 6 NP = 31
Explanation:
since the 2 triangles are congruent , then corresponding angles and sides are congruent.
∠ JKL ≅ ∠ MNP , that is
20x - 15 = 15x + 15 ( subtract 15x from both sides )
5x - 15 = 15 ( add 15 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
Then
NP ≅ KL = 5x + 1 = 5(6) + 1 = 30 + 1 = 31