Question

PLEASE HELP!!!! What is the smallest degree of rotation that will map a regular 20-gon onto itself?

Answer 1

Answer:
`18^(\circ)`

Explanation:

For a regular 20-gon, since there are 20 vertices that the polygon can be rotated and be mapped onto itself .Thus the order of symmetry of 20-gon is 2.

To find the degrees of rotational symmetry, we need to divide 360° by the order of symmetry.

Thus, the degree of rotation=
`(360^(\circ))/(20)=18^(\circ)`

Hence, the smallest degree of rotation that will map a regular 20-gon onto itself=
`18^(\circ)`