Given that,
[tex]\begin{gathered} \angle HGF=(16x+4)^0 \\ \angle HGE=(3x+11)^0 \\ \angle EGF=110^0 \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} \angle HGF=\angle HGE+\angle EGF \\ (16x+4)^0=(3x+11)^0+110^0 \\ by\text{ collecting like terms we will have} \\ 16x^0-3x^0=11^0+110^0-4^0 \\ 13x^0=117^0 \\ \text{divide both sides by 13} \\ \frac{13x}{13}=\frac{117^0}{13} \\ x=9 \end{gathered}[/tex]Hence,
The value of x =9
