Question

Provide two different degrees of rotation less than 75°
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

A regular dodecagon (12-sided polygon) will turn onto itself after specific rotations that are multiples of its central angle. The central angle of a regular dodecagon is 360° / 12 = 30°.

To find two different degrees of rotation that are less than 75° but greater than 0°, we can consider the multiples of 30°:

1. 30° (1 * 30°)
2. 60° (2 * 30°)

Thus, the two degrees of rotation that will turn a regular dodecagon onto itself are:

- **30°**
- **60°**