# 5. (a) Is it possible to have a regular polygon with measure of each exterior angle as 22°?

The measure of an exterior angle is 22°

Regular polygon has all exterior angles equal.

Sum of exterior angles of a polygon = $360\degree$

Let number of sides be X.

Sum of exterior angles of a polygon = $X \ast 22\degree =$ $360\degree$

Exterior angles of 15 sided polygon$= X= 360\degree \div 22\degree$

$X= 16.36$

Hence,side of a polygon should be an integer but as shown above side is not a integer.So,it is not  possible to have a regular polygon with measure of each exterior angle as 22$\degree$ .

Exams
Articles
Questions