Question

What do you get for X when you solve this equation

Answer 1

Given that,

`\begin{gathered} \angle HGF=(16x+4)^0 \\ \angle HGE=(3x+11)^0 \\ \angle EGF=110^0 \end{gathered}`

Therefore,

`\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} \\ (13x)/(13)=(117^0)/(13) \\ x=9 \end{gathered}`

Hence,

The value of x =9