Calculating Interior and Exterior Angles of Regular Polygons

The Organic Chemistry Tutor

This instructional video provides a comprehensive guide to calculating interior and exterior angles of regular polygons. It systematically walks through the process for three specific shapes: a pentagon (5 sides), a hexagon (6 sides), and an octagon (8 sides). For each shape, the video demonstrates how to find the sum of all interior angles, the measure of a single interior angle, and the measure of a single exterior angle using standard geometric formulas. The video explores key themes in Euclidean geometry, specifically focusing on polygon properties and angle relationships. It reinforces the concepts of linear pairs (supplementary angles) and the constant sum of exterior angles. A significant portion of the video is dedicated to a visual proof demonstrating why the exterior angles of any convex polygon sum to 360 degrees, helping students move beyond rote memorization to conceptual understanding. For educators, this video is an excellent resource for a high school geometry unit. It can be used to introduce angle sum theorems or as a review tool for students practicing calculations. The clear, step-by-step derivation of values allows teachers to pause and have students predict answers, while the final visual demonstration provides a powerful intuitive hook for understanding exterior angles.