Question

quadrilateral wxyz is a square. what is ( mangle vyx )?( mangle vyx = square^circ )

Explanation:

Step1: Identify square angle property

All interior angles of a square are $90^\circ$, so $m\angle XYZ = 90^\circ$.

Step2: Diagonals bisect square angles

The diagonals of a square bisect its interior angles, meaning they split the $90^\circ$ angle into two equal parts.
<Expression>
$m\angle VYX = \frac{m\angle XYZ}{2} = \frac{90^\circ}{2}$
</Expression>

Answer:

$45$