Interior & exterior angles for any regular polygon
Grades 6–9Grades 6–8 · Interior and exterior angles of regular polygons
Hexagon
6-sided polygon
Interior Angle Sum
720°
(6−2) × 180°
Each Interior Angle
120°
720° ÷ 6
Each Exterior Angle
60°
360° ÷ 6
Sum of Exterior Angles
360°
Always 360°
Interior Angle Formula: ((n−2) × 180°) / n
= ((6−2) × 180) / 6 = 120°
| Polygon | Sides | Sum | Interior | Exterior |
|---|---|---|---|---|
| Triangle | 3 | 180° | 60° | 120° |
| Quadrilateral | 4 | 360° | 90° | 90° |
| Pentagon | 5 | 540° | 108° | 72° |
| Hexagon | 6 | 720° | 120° | 60° |
| Heptagon | 7 | 900° | 128.57° | 51.43° |
| Octagon | 8 | 1080° | 135° | 45° |
| Nonagon | 9 | 1260° | 140° | 40° |
| Decagon | 10 | 1440° | 144° | 36° |
| Hendecagon | 11 | 1620° | 147.27° | 32.73° |
| Dodecagon | 12 | 1800° | 150° | 30° |