The angle at which the hexagon rotate onto itself is:
60°
Angle of rotational symmetry is the smallest measure of the angle by which a figure can be rotated such that the figure coincides with the original figure.
i.e. the figure on rotation can be mapped onto itself.
We know that in a case of a regular polygon the angle of rotational symmetry is:
[tex]\dfrac{360}{n}\ degree[/tex]
where n represents the number of sides of a polygon.
Here we are asked to find the angle of rotational symmetry of hexagon.
i.e. n=6 (Since there are six sides in a hexagon)
Hence, the angle of rotation is:
[tex]\dfrac{360}{6}=60\ degree[/tex]
