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) About Me  (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 %2290%B0%22n=%22360%B0%22, so n=%22360%B0%22%2F%2290%B0%22=4

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




Edwin