a) Since ∠FGI is bisected, that means ∠FGH and ∠HGI are congruent.
Therefore, 5x - 3 = 6x - 8
x to one side: 6x - 5x = -3 + 8
Subtract: x = 5
Plug in: m∠FGH = 5(5) - 3
Simplify: 25 - 3 = 22
m∠FGH = 22°
b) Since ∠FGH is congruent to ∠HGI, m∠FGH = m∠HGI.
Through substitution, m∠HGI = 22°
c) ∠FGI is ∠FGH and ∠HGI combined, so m∠FGI = m∠FGH + m∠HGI
Substitute: m∠FGI = 22° + 22°
Add: m∠FGI = 44°