To determine the value of x, you have to apply the Thales theorem. Which states that the line segments determined by the parallel lines are at the same ratio, so that:
[tex]\frac{x}{28}=\frac{8}{16}[/tex]
From this expression, you can determine the value of x. Multiply both sides f the equal sign by 28 to calculate the value of x:
[tex]\begin{gathered} 28\cdot\frac{x}{28}=28\cdot\frac{8}{16} \\ x=14 \end{gathered}[/tex]
The value of x is equal to 14
