Sum of interior angles of a hexagon.

## **The reasoning** For any polygon, the sum of interior angles follows this formula: **Sum = (n − 2) × 180°** where n = number of sides. A hexagon has **6 sides**, so: Sum = (6 − 2) × 180° Sum = 4 × 180° **Sum = 720°** The principle: You can divide any polygon into triangles from one vertex. A hexagon splits into **4 triangles**, and since each triangle has 180°, you multiply: 4 × 180° = 720°. --- ## **Why the wrong options tempt you** - **360°** — That's for a *quadrilateral* (4 sides), or you might be thinking of angles around a point. Common mix-up! - **540°** — That's for a *pentagon* (5 sides). You miscounted the sides. - **1080°** — You used (n + 2) instead of (n − 2), or calculated for an *octagon* (8 sides). --- ## **Quick takeaway** **Remember: (sides − 2) × 180°** — a hexagon always gives you 4 triangles, so 4 × 180° = 720°.