Aregular 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? ?

6 different angles.

Step-by-step explanation:

We have been given that a regular hexagon rotates counterclockwise about its center. It turns through angles greater than 0° and less than or equal to 360°

We know that each interior angle of a regular hexagon equals 60 degrees, so with each rotation of 60 degrees, the hexagon will map onto itself.

The multiples of 60 between 0 and 360 are: 60, 120, 180, 240, 300, 360.

Therefore, the hexagon will map onto itself at 6 different angles that are .

step-by-step explanation:

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