Answer:
x=3
Solution,
Theorem:
The angle bisector theorem states that if a ray bisects an angle of a triangle,then it divides the opposite side into two segments that are proportional to other two sides.
By the theorem,
[tex] \frac{24}{9x - 9} = \frac{32}{6x + 6} \\ or \: 24(6x + 6) = 32(9x - 9) \\ or \: 144x + 144 = 288x - 288 \\ or \: 144x - 288x = - 288 - 144 \\ or \: - 144x = - 432 \\ or \: x = \frac{ - 432}{ - 144} \\ x = 3[/tex]
hope this helps...
Good luck on your assignment..
