SOLUTION: How many sides does a regular polygon have if one exterior angle is 90 degrees?

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Question 317532: How many sides does a regular polygon have if one exterior angle is 90 degrees?
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
The sum of the exterior angles of any polygon is 360°. Suppose the
polygon has n sides. Since it is regular, all n exterior angles have
the same measure, so , so

It's a 4-sided regular polygon, so it's a square!:




Edwin

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