The interior angles of any polygon always add up to the same total, and it depends only on the number of sides.
The formula is (n − 2) × 180°, where n is the number of sides. A triangle (n=3): (3−2) × 180° = 180°. A quadrilateral (n=4): 360°. Pentagon: 540°. Hexagon: 720°.
For a regular polygon (all sides and angles equal), divide the total by n to get each angle. A regular hexagon: 720° ÷ 6 = 120° per angle.
Remember
Formula: (n − 2) × 180°. You can always derive it — no need to memorise each shape separately.
Real World
Honeybee hives use regular hexagons. Each interior angle is exactly 120°, and three hexagons meeting at a point sum to 360° — which is why they tile perfectly with no gaps.
Feeling ready?
Put this concept to work with a practice workout.