Answer:
x = 11.2
Step-by-step explanation:
The segment inside the triangle is an angle bisector and divides the side opposite the bisected angle into segments that are proportional to the other two sides , that is
[tex]\frac{x}{20-x}[/tex] = [tex]\frac{14}{11}[/tex] ( cross multiply )
11x = 14(20 - x) ← distribute parenthesis
11x = 280 - 14x ( add 14x to both sides )
25x = 280 ( divide both sides by 25 )
x = 11.2
