Solve for x.
I need help

Answer:
x = 35
Step-by-step explanation:
The segment from the vertex of the triangle is an angle bisector and divides the opposite side into 2 segments that are proportional to the other 2 sides, that is
[tex]\frac{20}{x}[/tex] = [tex]\frac{8}{14}[/tex] ( cross- multiply )
8x = 280 ( divide both sides by 8 )
x = 35