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Question
quadrilateral stuv is a square. what is ( mangle tsw )?( mangle tsw = square^circ )
Step1: Recall square angle properties
All interior angles of a square are $90^\circ$, so $\angle TSU = 90^\circ$.
Step2: Diagonals bisect square angles
The diagonals of a square bisect its interior angles, so $\angle TSW = \frac{1}{2}\angle TSU$.
Step3: Calculate the angle
$\angle TSW = \frac{1}{2} \times 90^\circ = 45^\circ$
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$45$