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Angles of Polygons

by Anonymous

Change the number of sides to split a polygon into triangles and find the interior angle sum, then see the exterior angles always total 360Β°.

πŸ”— Open in a new tab

About this app

An interactive middle-school geometry app for exploring the sums of polygon interior and exterior angles. Change the number of sides to see a polygon divided into nβˆ’2 triangles and calculate its interior-angle sum with 180°×(nβˆ’2). A separate exploration shows that exterior angles always total 360Β°, while the challenge section tests interior sums and the exterior angle of regular polygons.

Use cases

  • Middle-school students learning polygon angle formulas
  • Teachers demonstrating triangle decomposition with visuals
  • Learners practicing interior-angle sum calculations
  • Students reviewing regular-polygon exterior angles
  • Self-study with short multiple-choice challenges

Features

  • Adjustable side count with polygon diagrams
  • Visual triangle decomposition for interior-angle sums
  • Calculations using 180°×(nβˆ’2)
  • Exterior-angle exploration showing a constant 360Β° total
  • Multiple-choice challenge missions with answer feedback
  • Progressive missions and correct-answer streak tracking