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What is the measure of a regular 50-gon?

Updated: 4/28/2022
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14y ago

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By measure, I will assume you mean what is each interior angle, or what is the sum of the interior angles. The sum is 8,640 degrees, and each interior angle is 172.8 degrees. Side fact: that means there is an exterior angle of only 7.2 degrees. A polygon with 1000 sides would have an exteror angle of only 0.46 degrees. However, and this makes sense, no matter how many sides in the polygon, the interios angle will not add up to 180.

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14y ago
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Q: What is the measure of a regular 50-gon?
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What is the exterior angle of a 50gon?

Providing it's a regular polygon: 360/50 = 7.2 degrees


What is the interior angle of a 50gon?

Now, a 50-gon (the correct term is a pentacontagon, but that takes too long to type) has 50 sides. The equation for the interior angle of a regular polygon (we're talking about a regular 50-gon, right?) is [(n-1)*180]\n where n is the number of sides the polygon has. So in this case, the sum of the interior angles is 8820, and the measure of one angle is 176.4 degrees.


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