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NeTakaya
2 years ago
11

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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