Question

Which best explains if quadrilateral WXYZ can be a parallelogram?

Answer 1

The answer is the first answer choice

Answer 2

Answer: WXYZ can be a parallelogram with one pair of sides measuring 15 mm and other pair measuring 9 mm.

Step-by-step 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.