Interior And Exterior Angles Of A Polygon

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HomeAcademics & The Arts ArticlesMath ArticlesGeometry ArticlesInterior and Exterior Angles of a PolygonByMark Ryan Updated2021-07-08 17:37:42From the bookGeometry For DummiesShare

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Download E-BookGeometry For Dummies Explore Book Geometry Essentials For Dummies Explore BookBuy NowBuy on AmazonBuy on WileySubscribe on PerlegoDownload E-BookGeometry For DummiesExplore Book Geometry Essentials For DummiesExplore BookBuy NowBuy on AmazonBuy on WileySubscribe on PerlegoEverything you need to know about a polygon doesn’t necessarily fall within its sides. You may need to find exterior angles as well as interior angles when working with polygons:

• Interior angle: An interior angle of a polygon is an angle inside the polygon at one of its vertices. Angle Q is an interior angle of quadrilateral QUAD.

• Exterior angle: An exterior angle of a polygon is an angle outside the polygon formed by one of its sides and the extension of an adjacent side.

  

Interior and exterior angle formulas:

• The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180.

• The measure of each interior angle of an equiangular n-gon is

  

• If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.

  

Check here for more practice.

About This Article

This article is from the book: 

Geometry For Dummies

About the book author:

Mark Ryan has more than three decades’ experience as a calculus teacher and tutor. He has a gift for mathematics and a gift for explaining it in plain English. He tutors students in all junior high and high school math courses as well as math test prep, and he’s the founder of The Math Center on Chicago’s North Shore. Ryan is the author of Calculus For Dummies, Calculus Essentials For Dummies, Geometry For Dummies, and several other math books.

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