Question

Help asap!!

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
a. 10
b. 12
c. 20
d. 24

Answer 1

Hence, the number of sides of a regular polygon such that the smallest angle of rotation for a regular polygon is 18° is:

20.

Explanation:

We know that the smallest degree of rotation for a regular polygon is equal to the measure of it's internal angle.

" Regular polygons have a degree of rotational symmetry equal to 360 divided by the number of sides ".

Let this polygon has n sides.

That means:

`(360)/(n)=18 \degree`

This means that:

`n=(360)/(18)\\\\n=20`

Hence, the number of sides of a regular polygon such that the smallest angle of rotation for a regular polygon is 18° is:

20.

Answer 2

there are 360 degrees in a complete circle

360/18 = 20

so the answer is C