Provide two different degrees of rotation less than 75°

Question

but greater than 0°
that will turn a regular dodecagon onto itself.(1 point)
A regular dodecagon will turn onto itself after a
°
and
°
rotation.

Answer 1

To find the degrees of rotation that will turn a regular dodecagon (12-sided polygon) onto itself, we need to consider the rotation that corresponds to its symmetry.

A regular dodecagon can be rotated by multiples of \( \frac{360°}{12} = 30° \).

Now, we can list the rotations less than 75° but greater than 0° that are multiples of 30°:

1. \( 30° \)
2. \( 60° \)

So, a regular dodecagon will turn onto itself after a 30° and 60° rotation.