how many side does a regular polygon have if each of an exterior angle is 24° ?
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Sum of interior angles is (n-2)*180
So, interior angle is (n-2)*180/n
Exterior angle is 180-(n-2)*180/n = 24
(n-2)*180 = 156*n, 180n - 156n = 360
24n = 360, n = 15
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