Question

A regular hexagon rotates counterclockwise about its center. It turns through angles greater than 0° and less than or equal to 360°. At how many different angles will the hexagon map onto itself?

Answer 1

6

Explanation:

on edmentum

Answer 2

The central angle of a hexagon is :
Ф = 360° : 6 = 60°
The hexagon will map onto itself 6 times.
It will turn through angles : 60°, 120°, 180°, 240°, 300° and 360°.