Respuesta :

Given data:

The given triangle.

The expression for the angle bisector theorem is,

[tex]\begin{gathered} \frac{x}{x+6}=\frac{8}{20} \\ 20x=8x+48 \\ 12x=48 \\ x=4 \end{gathered}[/tex]

Thus, the value of x is 4, so last option is correct.