Why Every Triangle Equals 180°

Why does every triangle add up to 180 degrees? In this video, we explore one of the most fundamental results in Euclidean geometry through a clean and elegant geometric proof. Using parallel lines, angle relationships, and simple geometric constructions, we demonstrate why the interior angles of every triangle always sum to 180°. This video is perfect for students, math enthusiasts, geometry lovers, and anyone interested in mathematical reasoning and visual proofs. Topics covered: • Triangle angle sum theorem • Euclidean geometry • Parallel lines and alternate interior angles • Geometric proof • Classical mathematics • Synthetic geometry If you enjoy elegant mathematics, geometry problems, and visual proofs, consider subscribing for more content. #Geometry #Mathematics #MathProof #EuclideanGeometry #Triangles