Question

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Answer 1

Answer:

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

20.

Step-by-step 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:

$\dfrac{360}{n}=18 \degree$

This means that:

$n=\dfrac{360}{18}\\\\n=20$

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