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QUESTION IMAGE

find the value of x. x = ?

Question

find the value of x.
x = ?

Explanation:

Step1: Use angle - bisector theorem

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

Step2: Cross - multiply

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

Step3: Expand and solve

$42x-168 = 126$, $42x=126 + 168$, $42x=294$, $x = 7$

Answer:

$7$