Solution:
From the given circle
[tex]\begin{gathered} reflex\text{ m}\angle FEH=128\degree+126\degree=254\degree \\ reflex\text{ m}\angle FEH=254\degree \end{gathered}[/tex]
Then,
[tex]\begin{gathered} m\angle FEH=360-254\degree=106\degree \\ m\angle FEH=106\degree \end{gathered}[/tex]
To find ∠FGH,
[tex]m\angle FGH=\frac{1}{2}m\angle FEH[/tex]
Substitute for ∠FEH
[tex]\begin{gathered} m\angle FGH=\frac{1}{2}\times106\degree=53\degree \\ m\angle FGH=53\degree \end{gathered}[/tex]
Hence, ∠FGH is 53°
