Answer:
x = 3 and y = 4
Step-by-step explanation:
We know:
The diagonals in a parallelogram divide by halves.
Therefore KG = UG and DG = CG.
We have
KG = 5y - 8, UG = 3y, DG = 4x - 7, CG = x + 2
Substitute:
5y - 8 = 3y add 8 to both sides
5y = 3y + 8 subtract 3y from both sides
2y = 8 divide both sides by 2
y = 4
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4x - 7 = x + 2 add 7 to both sides
4x = x + 9 subtract x from both sides
3x = 9 divide both sides by 3
x = 3
