Question

find the value of x.
14
6
3x - 12
21
x = ?

Explanation:

Step1: Apply angle - bisector theorem

$\frac{14}{21}=\frac{6}{3x - 12}$

Step2: Cross - multiply

$14(3x - 12)=21\times6$

Step3: Expand left - hand side

$42x-168 = 126$

Step4: Add 168 to both sides

$42x=126 + 168=294$

Step5: Divide both sides by 42

$x = 7$

Answer:

$7$