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The sum of the exterior angles in any polygon is 360 degrees.Therefore that polygon is a decagon.

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Q: If one exterior angle of a polygon measures 36 degrees what is the sum of the polygons exterior angles?
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One exterior angle of a regular polygon measures 40 What is the sum of the polygons interior angle measures?

1260 degrees


How many sides does a regular polygon have if each exterior angle measures 30 degrees?

The number of sides in a regular polygon can be determined by dividing 360 degrees (the sum of all exterior angles in any polygon) by the measure of each exterior angle. In this case, if each exterior angle measures 30 degrees, the polygon will have 12 sides.


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