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.

1 answer

A regular dodecagon (12-sided polygon) will turn onto itself at multiples of \(\frac{360°}{12} = 30°\). To find two different degrees of rotation that are greater than 0° and less than 75°, we can use multiples of 30°.

The suitable rotations are:

  1. \(30°\)
  2. \(60°\)

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