Question

quadrilateral vwxy is a square. what is $m\angle uvw$?
$m\angle uvw = \square^\circ$

Explanation:

Step1: Recall square diagonal properties

In a square, diagonals bisect interior angles, and all interior angles are $90^\circ$.

Step2: Calculate angle UVW

Diagonal $WV$ splits $\angle VWX$ (a $90^\circ$ angle of the square) into two equal angles.
$\angle UVW = \frac{90^\circ}{2} = 45^\circ$

Answer:

$45$