Answer: WXYZ can be a parallelogram with one pair of sides measuring 15 mm and other pair measuring 9 mm.
Explanation:
We are given a quadrilateral WXYZ with YZ = 15 mm.
Opposite side of YZ is x+18.
In a parallelogram the opposite side are equal.
Therefore,
YZ = XW
x+8 = 15.
Subtracting 8 from both sides, we get
x+8-8 = 15-8
x=7.
We have XY=2x-5
Plugging x=7 in 2x-5, we get
XY= 2(7) -5 = 14-5 = 9mm.
Opposite side of XY is WZ.
Therefore, WZ = 9 mm.
Therefore, correct option is :
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and other pair measuring 9 mm.