n parallelogram DEFG, DH = x + 1, HF = 3y, GH = 3x – 4, and HE = 5y + 1. Find the values of x and y. The diagram is not drawn to scale.
In a parallelogram, opposite sides are congruent. Therefore, DH = GF and HE = FG.
Setting up the equation, we have:
DH = GF
x + 1 = 3x - 4
2x = 5
x = 5/2
HE = FG
5y + 1 = 3y
2y = -1
y = -1/2
Therefore, the values of x and y are x = 5/2 and y = -1/2.