Question

find the value of x.
6x + 6
9x - 9
32
24
x = ?

Explanation:

Step1: Apply angle - bisector theorem

$\frac{6x + 6}{9x - 9}=\frac{32}{24}$

Step2: Cross - multiply

$24(6x + 6)=32(9x - 9)$

Step3: Expand

$144x+144 = 288x-288$

Step4: Rearrange terms

$288 + 144=288x - 144x$

Step5: Simplify

$432 = 144x$

Step6: Solve for x

$x = 3$

Answer:

$3$