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FranOh, dude, you're hitting me with the fancy polygon lingo! So, like, the measure of an exterior angle on a regular polygon is always 360 degrees divided by the number of sides. In this case, a 50-gon has 50 sides, so the measure of each exterior angle would be 360/50, which is 7.2 degrees. Math can be cool, right?
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What is the measure of the exterior angle of a regular pentagon?
72 degrees
What is the measure of each exterior angle measure of regular 18-gon?
20.
What is the measure of each exterior angle of a octagon?
Providing that it is a regular octagon each exterior angle measures 45 degrees.
What is the measure of each exterior angle of a regular polygon with 45 sides?
Each exterior angle measures 8 degrees
How do you find the number of sides a regular poly gon has by knowing the angles?
When a polygon is regular, each exterior angle is equal to the other exterior angles. Since the sum of all the exterior angles is 360 degrees, if you divide 360 by the measure of one exterior angle, you will get the number of sides. If you instead have the measure of an interior angle, simply calculate (180 - interior angle measure) to find the measure of the exterior angle, and use the above paragraph.
