m∠FGH= 29º
m∠FGI=29º
m∠FGI=58º
1) The measure of ∠FGH is found by plugging into that the value of x.
[tex]m\angle FGH=3x-1\Rightarrow m\angle FGH=3(10)-1\Rightarrow m\angle FGH=29[/tex]
Once we know the value of x.
b) m∠HGI
[tex]m\angle FGH=4x\text{ }-11\Rightarrow4(10)-11\Rightarrow29^{\circ}[/tex]
Note that bisection yields congruent angles.
c) m∠FGI
[tex]\begin{gathered} m\angle FGI\text{ = m}\angle FGH\text{ +m}\angle HGI \\ m\angle FGI=29+29 \\ m\angle FGI=58 \end{gathered}[/tex]
3) Hence, the answers are:
29º
29º
58º
