Interior and Exterior Angles of Polygons

①This GeoGebra example dynamically demonstrates the measures of interior and exterior angles of polygons, showing how the sum of interior angles changes with the number of sides. ②Core math concepts include the polygon interior angle sum formula ((n-2)×180°), the definition of exterior angles and their supplementary relationship to interior angles, along with angle labeling and text display. ③Construction highlights: the Polygon command creates the polygon (objects A, B, C, D, etc.), the InteriorAngles command automatically generates interior angles (AngleA, AngleB, etc.), and text objects (text1 to text4) display angle values or explanations, facilitating observation of angle changes. ④Suitable for middle school geometry lessons or self-study, helping students understand the polygon interior angle sum theorem and exterior angle concepts, and can serve as a classroom demonstration tool for teachers to guide inductive reasoning through dynamic manipulation.