Take a regular hexagon as shown in the figures:
Repeat this activity for the cases of (i)A regular octagon
How many sides does a regular polygon have if the measure of an exterior angle is 24°?
How many sides does a regular polygon have if each of its interior angles is 165°?
The given polygon is regular polygon.
Each interior angle =
∴ Each exterior angle =
∴ Number of sides =
Thus, there are 24 sides of the polygon.
5. (a) Is it possible to have a regular polygon with measure of each exterior angle is 22°?