Question

For quadrilateral MNPQ to be a parallelogram its opposite sides must be equal Given MN=4y+3, QP=7y-6, NP=2y+8, and MQ=y+11, calculate the value of y that it is a parallelogram. A. 7. B. 1. C. 3. D. 9.

Answer 1

For parallelogram MNPQ, opposite sides are equal: MN = QP and NP = MQ.

Set them equal:
4y + 3 = 7y − 6 → 3 + 6 = 7y − 4y → 9 = 3y → y = 3
2y + 8 = y + 11 → 2y − y = 11 − 8 → y = 3

So y = 3. Answer: C.