Answer:
see explanation
Step-by-step explanation:
Since GH bisects ∠FGI, then
∠HGI = ∠FGH ← substitute values
6x - 12 = 5x - 4 ( subtract 5x from both sides )
x - 12 = - 4 ( add 12 to both sides )
x = 8
(a)
∠FGH = 5x - 4 = (5 × 8) - 4 = 40 - 4 = 36°
(b)
∠HGI = 6x - 12 = (6 × 8) - 12 = 48 - 12 = 36°
(c)
∠FGI = ∠FGH + ∠HGI = 36° + 36° = 72°
