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18 July, 09:58

A regular hexagon rotates counterclockwise about its center. It turns through angles greater than 0° and less than or equal to 360°. At how many different angles will the hexagon map onto itself?

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  1. 18 July, 11:14
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    The central angle of a hexagon is:

    Ф = 360° : 6 = 60°

    The hexagon will map onto itself 6 times.

    It will turn through angles : 60°, 120°, 180°, 240°, 300° and 360°.
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