Answer: \(60^{\circ}\)
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
\(x=\dfrac{360^{\circ}}{6}=60^{\circ}\)
Hence, a hexagon will rotate onto itself at every \(60^{\circ}\) .
