Answer:
∠ HFG = 30°
Explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles
∠ GHI is an exterior angle of the triangle , then
∠ GHI = ∠HFG + ∠ FGH , that is
4x - 5 = x + 19 + x - 2
4x - 5 = 2x + 17 ( subtract 2x from both sides )
2x - 5 = 17 ( add 5 to both sides )
2x = 22 ( divide both sides by 2 )
x = 11
Then
∠ HFG = x + 19 = 11 + 19 = 30°