question_answer 12)

                (a) Is it possible to have a regular polygon with measure of each exterior angle as \[{{22}^{o}}\]? (b) Can it be an interior angle of a regular polygon? Why?

Answer:

                (a) No; (since 22 is not a divisor of 360). (b) No; (because each exterior angle is \[{{180}^{o}}-{{22}^{o}}={{158}^{o}},\] which is not a divisor of \[{{360}^{o}}\]).