Question 5. (a) Is it possible to have a regular polygon with measure of each exterior angle is 22°?
(b) Can it be an interior angle of a regular polygon? Why?
Which is not a whole number.
If it is a regular polygon, then its number of sides must be a whole number.
(b) 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.