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Angles in Polygons (Complete Guide) Interior and Exterior Angles

2.1K views· 42 likes· 10:25· Apr 19, 2026

In this complete guide, you'll learn how to find the interior and exterior angles of polygons! We'll cover four essential formulas and work through eight examples, tackling various problem types you're likely to encounter. Here's what we'll explore: 00:00 Introduction to Angles in Polygons 0:40 Convex vs. Concave Polygons 1:45 Example 1: Sum of Interior Angles, One Interior Angle, and One Exterior Angle of a Regular Decagon 4:50 Example 2: Finding the Number of Sides Given an Exterior Angle of a Regular Polygon 6:30 Example 3: Solving for 'x' in a Quadrilateral (Interior Angles) 8:05 Example 4: Solving for 'x' in a Pentagon (Interior Angles) 9:50 Example 5: Solving for 'x' using Exterior Angles of a Convex Polygon 11:40 Example 6: Finding Interior and Exterior Angles of a Regular Octagon 13:20 Example 7: Finding the Number of Sides Given an Interior Angle of a Regular Polygon 15:55 Example 8: Finding the Number of Sides Given the Sum of Interior Angles of a Convex Polygon Whether you're dealing with regular or irregular polygons, this video will provide you with the formulas and practice you need to confidently find angles in any polygon! #AnglesInPolygons #Geometry #InteriorAngles #ExteriorAngles #PolygonFormulas #MathTutorial ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join

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