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, $WC = CY$.
$$2x + 5=3x + 2$$

Step2: Solve the equation for x

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

Answer:

$3$