Question

at which angle will the hexagon rotate so that it maps onto itself? 60° 90° 120° 180°

Explanation:

Step1: Calculate the rotational symmetry angle

For a regular polygon, the angle of rotational symmetry is given by the formula \(\frac{360^{\circ}}{n}\), where \(n\) is the number of sides.
For a hexagon, \(n = 6\).
So, \(\frac{360^{\circ}}{6}=60^{\circ}\).
A regular hexagon will map onto itself when rotated by \(60^{\circ}\), \(120^{\circ}\), \(180^{\circ}\), \(240^{\circ}\), \(300^{\circ}\), and \(360^{\circ}\). Among the given options, \(60^{\circ}\) is the smallest angle for which the hexagon maps onto itself.

Answer:

60°