Answer:
Option C is your answer ( x = 6 and y = 3)
Step-by-step explanation:
For a parallelogram opposites are parallel and are equal so we use this information to calculate the value of x and y so here goes,
For x :
Lets take the sides AB and DC both are parallel and since it's a parallelogram they must be equal so we equate both the sides like this ,
[tex]AB = DC\\8x-34=9x-40\\8x-9x=-40+34\\-x=-6\\x=6\\[/tex]
we found the value of x = 6 now we need the value of y
For y :
We take the sides AD and BC since they are parallel and opposites are equal so ,
[tex]AD=BC\\4y+20=6x-4\\4y+20=6(6)-4\\4y+20=36-4\\4y+20=32\\4y=32-20\\4y=12\\y=12/4\\y=3[/tex]
so now the value of y = 3 so Option C is your answer
