Question

quadrilateral stuv is a square. what is $m\angle rst$?
$m\angle rst = \square^\circ$

Explanation:

Step1: Recall square diagonal properties

In a square, diagonals bisect its right angles, and they intersect at equal angles. Each interior angle of a square is $90^\circ$, and the diagonals split these angles into two equal $45^\circ$ angles. Also, the point $R$ is the intersection of the square's diagonals $SU$ and $TV$.

Step2: Identify $\angle RST$

$\angle RST$ is one of the angles formed by a side of the square and a diagonal. Since diagonal $SR$ bisects the right angle $\angle TSU$ (which is $90^\circ$), we calculate:
$\angle RST = \frac{90^\circ}{2} = 45^\circ$

Answer:

$45^\circ$