provide two different degrees of rotation less than 75°

Question

75
°
but greater than 0°
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 has 12 sides, which means it can be rotated onto itself by any multiple of \( \frac{360°}{12} = 30° \).

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

1. \( 30° \) (1 x 30°)
2. \( 60° \) (2 x 30°)

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