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

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°. 

Answer 2

Answer: on plato the answer is - 6

Step-by-step explanation: