Answer:
∠ E = 70° , ∠ F = 40° , ∠ G = 70°
Explanation:
given EF = FG then Δ EFG is isosceles with base angles congruent, that is
∠ G = ∠ E = 5n
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
4n - 16 + 5n + 5n
14n - 16 = 180 ( add 16 to both sides )
14n = 196 ( divide both sides by 14 )
n = 14
Then
∠ E = 5n = 5(14) = 70°
∠ F = 4n - 16 = 4(14) - 16 = 56 - 16 = 40°
∠ G = 5n = 5(14) = 70°