Provide two different degrees of rotation less than 75° but greater than 0° that will turn a regular dodecagon onto itself.

Question

(1 point)
A regular dodecagon will turn onto
itself after a
and
rotation.

Answer 1

A regular dodecagon has 12 sides, and it can be rotated onto itself by any multiple of \( \frac{360°}{12} = 30° \).

To find two degrees of rotation less than 75° but greater than 0° that will turn the dodecagon onto itself, consider the multiples of 30°:

1. \( 30° \times 1 = 30° \)
2. \( 30° \times 2 = 60° \)

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

A regular dodecagon will turn onto itself after a \( 30° \) and \( 60° \) rotation.