Answer:
x = 7.5
Step-by-step explanation:
Given BE is parallel to CD and intersects the other 2 sides, it divides those sides proportionally, that is
[tex]\frac{AE}{ED}[/tex] = [tex]\frac{AB}{BC}[/tex] , substitute values
[tex]\frac{10}{8}[/tex] = [tex]\frac{x}{6}[/tex] ( cross- multiply )
8x = 60 ( divide both sides by 8 )
x = 7.5
