Question

Is it possible to have a regular polygon with measure of each exterior angle as ${22}^o$?

• A. not possible
• B. possible
• C. cannot be determined
• D. none of the above

Answer 1

The correct option is A not possible

Since the number of sides of a regular polygon
$=\frac{360}{\text{Exterior angle}}$
$\therefore$ The number of sides of a regular polygon
$=\frac{360}{22}[\because$ Exterior angle $={22}^o$, given]
$=\frac{180}{11}$
Which is not a whole number.
$\therefore$ A regular polygon with measure of each exterior angle as ${22}^o$ is not possible.