Answer:
The answer to your question is:
a) ∠FGH = 34°
b) ∠HGI = 34°
c) ∠FGI = 68°
Step-by-step explanation:
We know that GH bisects ∠FGI
a) Find ∠FGH
∠ FGH = 5x - 6
∠ HGI = 6x -14
∠ FGH = ∠ HGI
5x - 6 = 6x - 14
5x - 6x = -14 + 6
-1x = - 8
x = 8
∠ FGH = 5(8) - 6
= 40 - 6
= 34°
b) m∠HGI = 6(8) -14
= 48 - 14
= 34°
c) m∠FHI = ∠ FGH + ∠ HGI
= 34 + 34
= 68°
