How many sides does a regular polygon have if each of its interior angle as 22 degree?

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asked Dec 25, 2017 in Mathematics by Golu (37,045 points) 19 172 615

How many sides does a regular polygon have if each of its interior angle as 22o?

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answered Dec 25, 2017 by anukriti (13,536 points) 5 10 43
selected Dec 25, 2017 by Golu
 
Best answer

Solution: 
Since, number of sides of a polygon = 360°/each exterior angle
Hence, number of sides of given polygon = 360°/22° = 16.36

Since, answer is not a whole number, thus, a regular polygon with measure of each exterior angle as 22⁰ is not possible.
Hence, Answer = no

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