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Angles of Regular Polygons
Measures of Interior and Exterior Angles to Number of Edges or Vice Versa
6
Mathematics
Undergraduate 1
10/13/2013

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Cards

Term
160 degrees (The formula is m = 180 - 360/n, where n is the number of edges; n = 18, so m = 180 - 360/18 = 180 - 20 = 160.)
Definition
What is the measure of each interior angle of a regular 18-gon?
Term
18 degrees (The formula is e = 360/n, where n is the number of edges; n = 20, so 360/20 = 18.)
Definition
What is the measure of each exterior angle of a regular 20-gon?
Term
10 edges (The formula is n = 360/(180 - m), where m is the interior angle measure; m = 144, so 360/(180 - 144) = 360/36 = 10.)
Definition
How many edges are there in a regular n-gon if each interior angle measure is 144 degrees?
Term
5 edges (The formula is n = 360/e, where e is the exterior angle measure; e = 72, so n = 360/72 = 5.)
Definition
How many edges are there in a regular n-gon if each exterior angle measure is 72 degrees?
Term
5400 degrees (The formula is s = 180*(n - 2), where n is the number of edges; n = 32, so 180*(32 - 2) = 180*3 = 5400.)
Definition
What is the sum of all interior angle measures of a convex 32-gon?
Term
360 degrees (This is always the case, regardless of the number of sides.)
Definition
What is the sum of all exterior angle measures of a convex 17-gon?
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