From the Angle bisector Theorem we have:
[tex]\frac{A}{B}=\frac{X}{Y}[/tex]
Substituting the given values, we have:
[tex]\begin{gathered} \frac{15}{8}=\frac{3x}{4} \\ \\ 4\times15=8\times3x\to60=24x \\ x=\frac{60}{24}=2.5 \end{gathered}[/tex]
Answer is:
D) 2.5
