So here is how we got the values of x and y based on the given figure above. But before that, take note that in a parallelogram, has opposite angles that are equal and all 4 angles add up to 360. In addition, the parallel sides have equal measurements as well.
So first, let us solve for x:
(4x)(2) + (2x - 6)(2) = 360
8x +4x -12 = 360
12x = 360 +12
12x = 372
x= 31
Next is solve for y:
y + 8 = 5y
y - 5y = -8
-4y = -8
y = 2
Therefore, the value of x is 31 and y is 12. So the answer is option A. Hope this answer helps.