A regular pentagon has five rotational symmetries that carry it onto itself. These rotations are by angles of 0 degrees, 72 degrees, 144 degrees, 216 degrees, and 288 degrees. Each rotation corresponds to turning the pentagon around its center by multiples of 72 degrees, effectively aligning its vertices with their original positions. As a result, the symmetries reflect the cyclic nature of the pentagon's geometric structure.
In 3 to 5 sentences summarize the rotations that carry a regular pentagon onto itself
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