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Since the 50-sided polygon is a regular polygon, then:

The sum of 50 angles = (50 - 2)(180⁰) = 48(180⁰) = 8,640⁰
Each angle measure = 8,640⁰/50 = 172.8⁰

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Q: What is the measure of each interior angle of a regular 50-gon?
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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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