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

Solution:

The sum of the angles of a polygon is 360°

The angle of rotation is given as 18°

To find the number of sides we have to divide 360 by 18

So the number of sides of the polygon

= 360/18 = 20

Therefore, the polygon has 20 sides.

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

Summary:

If the smallest angle of rotation for a regular polygon is 18°, the polygon has 20 sides.