SOLUTION: how to find the number of sides of a regular polygon if the measure of one exterior angle is 30 degrees show work

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Question 385649: how to find the number of sides of a regular polygon if the measure of one exterior angle is 30 degrees show work
Answer by richard1234(7193) About Me  (Show Source):
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Given that the sum of the exterior angles in any polygon add up to 360 degrees, we have 360 = 30n --> n = 12. A 12-sided polygon satisfies the given condition.