The sum of interior angles of a hexagon is:

## The reasoning The formula for the sum of interior angles of any polygon is **(n − 2) × 180°**, where n is the number of sides. A hexagon has **6 sides**, so: - Sum = (6 − 2) × 180° - Sum = 4 × 180° - Sum = **720°** **Why this formula works:** Imagine drawing lines from one vertex to all other vertices in the hexagon. You create 4 triangles. Since each triangle has angles summing to 180°, the total is 4 × 180° = 720°. ## Why the wrong options tempt you **A) 360°** — This is the sum of *exterior* angles of any polygon, not interior angles. Easy mix-up! **B) 540°** — This is correct for a *pentagon* (5 sides): (5−2) × 180° = 540°. Students sometimes miscount the sides. **D) 1080°** — This would be for an octagon (8 sides). Way too many sides! ## Quick takeaway **"Take the number of sides, subtract 2, then multiply by 180° — hexagon has 6 sides, so (6−2) × 180° = 720°."** Memorize the formula **(n − 2) × 180°** and you'll crack any polygon question!