Question

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

Answer 1

x = 11

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.

`(AC)/(CD)= (AB)/(BD)`

`(8)/(4)=(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.