Using the given diagram, solve for x. Show work.

Answer:
x = 6
Step-by-step explanation:
the segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
[tex]\frac{x}{2}[/tex] = [tex]\frac{12}{4}[/tex] = 3 ( multiply both sides by 2 )
x = 6