Question

proving a quadrilateral is a parallelogram
proving that a quadrilateral is a parallelogram
in quadrilateral wxyz, wc = 2x + 5 and cy = 3x + 2. what must
x equal for quadrilateral wxyz to be a parallelogram?

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So \(WC = CY\).
$$2x + 5=3x + 2$$

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides:
$$2x+5 - 2x=3x + 2-2x$$
$$5=x + 2$$
Subtract \(2\) from both sides:
$$5-2=x+2 - 2$$
$$x = 3$$

Answer:

\(3\)