In this problem, we are asked to solve which angle does hexagon rotate onto itself and it is actually referring the degrees of rotation of symmetry and the formula in solving this problem is the degree of rotation = 360° / number of sides. The solution is shown below:
where n in this problem is equal to 6 since the figure is a hexagon
degree of rotation = 360° / 6
degree of rotation = 60°
The answer is 60°.