Answer:
The value of x is;
[tex]x=17[/tex]Explanation:
Given the triangle in the attached image;
We want to solve for x;
Recall that the sum of angles in a triangle equals to 180 degree.
[tex]44^{\circ}+60^{\circ}+(4x+8)^{\circ}=180^{\circ}[/tex]solving for x, we have;
[tex]\begin{gathered} 44^{\circ}+60^{\circ}+(4x+8)^{\circ}=180^{\circ} \\ 44^{}+60^{}+4x+8^{}=180 \\ 104+8+4x=180 \\ 112^{}+4x=180 \\ \text{subtract 112 from both sides;} \\ 112-112^{}+4x=180-112 \\ 4x=68 \\ x=\frac{68}{4} \\ x=17 \end{gathered}[/tex]Therefore, the value of x is;
[tex]x=17[/tex]