Answer:
x = 2
y = 3
Step-by-step explanation:
Measures of opposite sides of a parallelogram are equal.
Therefore,
PQ = SR
2y + 2 = y + 5
2y - y = 5 - 2
y = 3
QR = PS
2x + 3 = y + 4
2x + 3 = 3 + 4 (y = 3)
2x = 7 - 3
2x = 4
x = 4/2
x = 2
Thus, for x = 2 and y = 3, PQRS is a parallelogram.
