Answer:
∠ FGH = 48°
Explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ FGH is an external angle of the triangle, thus
∠ FGH = ∠ EFG + ∠ GEF , substitute values
5x - 7 = x + 14 + 2x + 1
5x - 7 = 3x + 15 ( subtract 3x from both sides )
2x - 7 = 15 ( add 7 to both sides )
2x = 22 ( divide both sides by 2 )
x = 11
Thus
∠ FGH = 5x - 7 = 5(11) - 7 = 55 - 7 = 48°