Answer: [tex]60^{\circ}[/tex]
Step-by-step explanation:
- A shape has a rotational symmetry if it moves onto itself under rotation of some angle about its center.
We know that a hexagon is a regular polygon having all its sides and all its angles are equal.
For a regular polygon , the order of rotation of the figure is same as the number of sides .
When we rotate hexagon up to 360° , we will get 6 times the figure such that it looks exactly the same as the original figure.
Let x be the angle at which hexagon rotate onto itself, then we have
[tex]x=\dfrac{360^{\circ}}{6}=60^{\circ}[/tex]
Hence, a hexagon will rotate onto itself at every [tex]60^{\circ}[/tex] .
