In this lesson, 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 \(= (n – 2) × 180^\circ\)

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 \((n – 2) × 180^\circ\) work for all polygons?

✅ Step-by-step visual proof with examples!

✅ Finding the sum of interior angles for a \(1002\)-sided polygon (\(1002\)-gon).