Answer:
x = 18
Step-by-step explanation:
If a line is parallel to a side of a triangle and it intersects the other 2 sides, it divides those sides proportionally, hence
[tex]\frac{x}{12}[/tex] = [tex]\frac{x+6}{16}[/tex] ( cross- multiply )
16x = 12(x + 6)
16x = 12x + 72 ( subtract 12x from both sides )
4x = 72 ( divide both sides by 4 )
x = 18
