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

Mathematics

1 answer:

saveliy_v [14]2 years ago

8 0

Answer: $18^{\circ}$

Step-by-step 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= $\frac{360^{\circ}}{20}=18^{\circ}$

Hence, the smallest degree of rotation that will map a regular 20-gon onto itself= $18^{\circ}$

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