Question

Question located below

Answer 1

88

Explanation:

first the measure of angle FGE = 180-38-(6x-10)

= 142-6x+10

=152-6x

angle FGE + angle FGN = 180

152-6x + 7x+18 = 180

170 + x = 180

x = 10

So FGN = 7(10) + 18 = 70+18 = 88

Check that the triangle adds to 180 when x = 10:

(6x-10) + 38 + (152-6x) = 6(10)-10+38+152-6(10) = 180