Find x and y, given that line ws and line vt are parallel. show all

Given that those lines are parallel they will form similar traingles. This means the lengths of the sides of the triangles will be proportional through a ratio.

Find the ratio:  divde the given small side by the given big side(they must be the same sides of the triangles though)

For example:
I found the ratio by dividing 8 / (20) and simplify to 2/5

Next step: multiply 22 by the fraction to get "y"

22*= y
y=8.8 units

To find x :

Step 1: write an equation for the length of side US.
US= 5+x-2= x+3

Step 2: DIVIDE 5 by the ratio (must divide to get longer side DO NOT multiply)
US= 5/(2/5)= 12.5 units

Step 3: set the expression you found for US equal to 12.5 

12.5= x+3
subtract 3 from both sides to isolate x.
x= 9.5 units

My answers:
x= 9.5 units
y= 8.8 units