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?
you find the measure of interior angles of a regular polygon with this: 180(n-2)/n, a hexagon has 6 sides 180(6-2)/6=120 degrees|dw:1396019203310:dw|360°/60°=6 in 360° you have 6 rotations of 60°
