The smallest degree of rotation that maps the regular 20-gon onto itself is 18 degrees
From the question, we have the following highlights
- The shape is given as: regular 20-gon
- The angle at the center of the regular 20-gon is 360 degrees.
So, the smallest degree of rotation is calculated as:
[tex]\theta = \frac{360}{20}[/tex]
Divide 360 by 20
[tex]\theta = 18[/tex]
Hence, the smallest degree of rotation that maps the regular 20-gon onto itself is 18 degrees
Read more about rotation at:
https://brainly.com/question/1601601
