Triangle Angle Sum Theorem Proof

This GeoGebra example demonstrates a geometric proof of the Triangle Angle Sum Theorem, showing that the sum of the interior angles of a triangle is always 180 degrees. The core mathematical concepts involved include the Triangle Angle Sum Theorem, properties of parallel lines, and geometric reasoning. To construct the proof, the example utilizes commands such as Polygon to create the triangle, and Line, Point, and Angle to draw auxiliary lines and measure angles like α and β, dynamically illustrating the steps of the proof. It is highly suitable for middle school and high school geometry classes, mathematics lectures, and for students learning geometric proofs.