Exterior Angle Inequality Exploration

This GeoGebra example dynamically demonstrates the exterior angle inequality theorem: in a triangle, an exterior angle is greater than either of the two non-adjacent interior angles. The core mathematical concept is the comparison of angle measures and the triangle exterior angle theorem. Construction highlights: using GeoGebra commands Segment, Ray, and Point to build triangle ABC and extend side BC to form an exterior angle; the Angle tool marks the exterior angle α and the two remote interior angles β and γ; text objects (text1, text2) display live angle values for easy comparison. Suitable for middle school geometry lessons or student self-exploration, this interactive tool helps learners intuitively grasp the inequality and prepares them for further topics like triangle angle sums and exterior angle sums.