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As shown in the diagram, a 7 \times 2 rectangle (in black) is rotated $90^\circ$ counterclockwise around its center (i.e. the intersection of its diagonals) to reach its new position (in red). Find $\angle XYZ$ in degrees.

 Dec 31, 2024
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Angle XYZ is equal to 60 degrees.

 Dec 31, 2024

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