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In a 24 polygon, 23 of the exterior angles add to 310 degrees. What is the measure of the 24th exterior angle?

In a 24 polygon, 23 of the exterior angles add to 310 degrees. What is the measure of the 24th exterior angle?
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In a 24 polygon, 23 of the exterior angles add to 310 degrees. What is the measure of the 24th exterior angle?

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User Trenthogan
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1 Answer

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The sum of the exterior angles of a polygon sum to 360. Since the first 23 exterior angles give you 310 you have one angle left and 50 degrees left. Therefore the 24th exterior angle must be 50degrees.
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User Brandon E Taylor
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