Angles in Polygons
Every polygon's angles follow a simple rule based on its number of sides.
Parallel linesInterior anglesExterior anglesRegular polygons
📖 Learn
Interior sum
(n − 2) × 180°. A pentagon: 3 × 180 = 540°.
Exterior sum
Exterior angles always add to 360°.
Parallel lines
Alternate angles (Z) are equal; corresponding angles (F) are equal.
Worked example
Each interior angle of a regular hexagon
- 1Exterior = 360 ÷ 6 = 60°
- 2Interior = 180 − 60
- 3= 120° ✅
🧪 Play with it: Angle turner
60° Acute
⭐ Practise
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