VWX and NOP are similar triangles. The angle of V is equal to the angle of N, W is equal to O, X is equal to P. The total angle of a triangle is 180. The angle of V = 44. Angle of P = 66, which is just the same angle as X. So we need to find the angle or W, same angle as O.
180 = 44 + 66 + W
W = 180 - 110
W = 70 degrees.