Question

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?

Answer 1

24 just did the test ;)

Explanation:

Answer 2

Answer: The answer is 20.

Step-by-step explanation: Given that the smallest angle of rotation for a regular hexagon is 18°. We are to find the number of sides of the polygon.

Since the polygon is regular, so all its sides and angles are equal. Hence, each angle of the polygon is 18°.

We know that the number of sides of the regular polygon with each angle 'α'

is given by

`n=(360^\circ)/(\alpha).`

Here, α = 18°, then we have

`n=(360^\circ)/(18^\circ)=20.`

Thus, the number of sides will be 20.