Question

I need help with this asap please !! find the value of X

Answer 1

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.

$\frac{AC}{CD}= \frac{AB}{BD}$

$\frac{8}{4}=\frac{x+3}{x-4}$

8(x - 4) = 4(x + 3)

8x - 32 = 4x + 12

8x - 4x = 32 + 12

4x = 44

x = 11

Therefore, value of x is 11.