Answer:
∠ P = 48°
Explanation:
Since NM = PM then the triangle is isosceles with base angles being congruent, then
∠ P = ∠ N , that is
8y - 16 = 6y ( subtract 6y from both sides )
2y - 16 = 0 ( add 16 to both sides )
2y = 16 ( divide both sides by 2 )
y = 8
Then
∠ P = 8y - 16 = 8(8) - 16 = 64 - 16 = 48°