Math
Polygon angle sums.
Definition
The sum of interior angles of a polygon depends on the number of sides. For any n-sided polygon, the interior angle sum is (n-2) × 180°. Each exterior angle and its adjacent interior angle sum to 180°.
Examples
Real-world.
- 1 Triangle: (3-2) × 180° = 180°
- 2 Pentagon: (5-2) × 180° = 540°
- 3 Each interior angle of a regular hexagon: 720°/6 = 120°
Key Fact
Interior angle sum = (n-2) × 180°; Exterior angle sum always = 360°