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(a) Is it possible to have a regular pol...

(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?

Text Solution

Verified by Experts

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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