Question

MZGFN= 4x + 10, mZNFE = 14x + 3, and mzGFE=157º. Find m2NFE.

Answer 1

Answer:

115°

Step-by-step explanation:

1. Calculate the value of x

$\begin{array}{rcc}m\angle GFM + m\angle NFE & = & m\angle GFE\\4x + 10 + 14x + 3 & = & 157\\18x + 13 & = & 157\\18x & = & 144\\x & = & \dfrac{144}{18}\\ & = & 8\\\end{array}$

2. Calculate m∠NFE

m∠NFE = 14x + 3 = 14(8) + 3 = 112 + 3 = 115