Sum of interior angles of a Polygon - proof

In this video, we do the Proof of the Sum of Interior Angles of a Polygon using a visual method by splitting the polygon into triangles. We explore how the formula:

🔹 Sum of Interior Angles = (n - 2) × 180°

applies to different polygons, from a triangle to a heptagon and even a polygon with 1002 sides!

📚 Topics Covered:
✅ What are interior angles of a polygon?
✅ How can we split a polygon into non-overlapping triangles?
✅ Why does the formula (n - 2) × 180° work for all polygons?
✅ Step-by-step visual proof with examples!
✅ Finding the sum of interior angles for a 1002-sided polygon (1002-gon).

📌 Video Timeline:
0:00 ❖ Introduction
1:25 ➝ Triangle (Sum of Interior Angles = 180°)
1:54 ➝ Quadrilateral (Sum = 360°)
3:46 ➝ Pentagon (Sum = 540°)
5:03 ➝ Hexagon (Sum = 720°)
6:00 ➝ Heptagon (Sum = 900°)
7:15 ➝ Formula for any polygon (Sum = (n – 2) × 180°)
8:27 ➝ 1002-Sided Polygon (Sum = (1002 – 2) × 180°)
9:08 ❖ Conclusion

🎥 If you want to see a detailed proof for a triangle, check out my video Proof that the Sum of Angles of a Triangle is 180 Degrees in the Geometry - Triangles, Polygons & Circles Playlist.

The link to Geometry - Triangles, Polygons & Circles Playlist:
   • Geometry - Triangles, Polygons & Circles  

The link to Math Passion Playlist:
   • Плейлист  

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