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°?
5. (a) Is it possible to have a regular polygon with measure of each exterior angle is 22°?
Can it be an interior angle of a regular polygon? Why?
If 22° is an interior angle, then 180° - 22°, i.e. 158° is exterior angle.
Thus, 22° cannot be an interior angle of a regular polygon.