(a) Is it possible to have a regular polygon with measure of each exterior angle as `22^@` ? b) Can it be an interior angle of a regular polygon? Why?

Explanation

Sum of all exterior angles of regular polygon = `360^0`

(a)
Given that, measure of each exterior angle = `22^0`


(no. of sides)**(measure of exterior angle) = `360^0`

(no. of sides) = `360^0/22^0`

`=16.36`

Thus, number of sides must be a whole number, hence, we cannot have a regular polygon with exterior angle `22^0`
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