Answer:
115°
Step-by-step explanation:
1. Calculate the value of x
[tex]\begin{array}{rcc}m\angle GFM + m\angle NFE & = & m\angle GFE\\4x + 10 + 14x + 3 & = & 157\\18x + 13 & = & 157\\18x & = & 144\\x & = & \dfrac{144}{18}\\ & = & 8\\\end{array}[/tex]
2. Calculate m∠NFE
m∠NFE = 14x + 3 = 14(8) + 3 = 112 + 3 = 115
