there are 360 degrees in a complete circle
360/18 = 20
so the answer is C
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:
[tex]\dfrac{360}{n}=18 \degree[/tex]
This means that:
[tex]n=\dfrac{360}{18}\\\\n=20[/tex]
Hence, the number of sides of a regular polygon such that the smallest angle of rotation for a regular polygon is 18° is:
20.
