Is it possible to have a regular polygon each of whose exterior angles is 50

4 answers

If exterior angle is 50°, then each interior angle is 130°

let the number of sides be n , where n is a whole number
sum of interior angles = 180(n-2)
each interior angle is 180(n-2)/n

180(n-2)/n = 130
180n - 360 = 130n
50n = 360
n = 7.2 , silly answer, so

nope, not possible
same answer using the exterior angles, which sum to 360°
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Is it possible to have a regular polygon each of whose exterior angles is 50degree