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: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, $WC = CY$.

Step2: Set up the equation

Set $2x + 5=3x + 2$.

Step3: Solve for $x$

Subtract $2x$ from both sides: $5=x + 2$. Then subtract 2 from both sides: $x=3$.

Answer:

$3$