Answer:
x = 11
Step-by-step explanation:
By using angle bisector theorem,
"Bisector of an angle divides the opposite side of the angle into two segments such that they are proportional to the other two sides.
[tex]\frac{AC}{CD}= \frac{AB}{BD}[/tex]
[tex]\frac{8}{4}=\frac{x+3}{x-4}[/tex]
8(x - 4) = 4(x + 3)
8x - 32 = 4x + 12
8x - 4x = 32 + 12
4x = 44
x = 11
Therefore, value of x is 11.
