The order of rotational symetry can be 0, 2, 3 or 6. The first one gives no degree of rotation. The others are, respectively, 180, 120 and 60 degrees.
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6
Each angle of a hexagon is 120 degrees. This means that all together, the interior angles of a hexagon add up to 720 degrees.
Because the 6 interior angles of a hexagon add up to 720 degrees
the degree of a rotaiton of a star is 37 degrees
180 degrees