Answer:
x = 6
Step-by-step explanation:
Since BD is an angle bisector then the following ratios are equal
[tex]\frac{BC}{BA}[/tex] = [tex]\frac{CD}{AD}[/tex], that is
[tex]\frac{8}{x}[/tex] = [tex]\frac{4}{3}[/tex] ( cross- multiply )
4x = 24 ( divide both sides by 4 )
x = 6
