Question

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

Answer 1

there are 6 sides to a hexagon

360/6 = 60 degrees

so it will map onto itself at 60, 120, 180, 240, 300 & 360

there are 6 different angles