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

Question

a regular dodecagon will turn onto itself after a _* and _* rotation.

Answer 1

A regular dodecagon has 12 sides, which means it has rotational symmetries at multiples of \( \frac{360^\circ}{12} = 30^\circ \).

To find degrees of rotation that will turn a regular dodecagon onto itself and are greater than \( 0^\circ \) but less than \( 75^\circ \), we can consider the multiples of \( 30^\circ \):

1. \( 30^\circ \)
2. \( 60^\circ \)

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