Question

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

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So, \(WC = CY\).

Step2: Set up the equation

\(2x + 5=3x + 2\)

Step3: Solve the equation

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:

\(3\)