Tuesday, May 12, 2026

Polygons and Their Angle Properties

A polygon is a closed figure made up of straight lines. Each polygon has interior and exterior angles that follow simple mathematical rules.  

- The sum of exterior angles of any polygon is always 360°, no matter how many sides it has.  
- The formula gives the sum of interior angles:  
  (n - 2) x 180° 
  where n is the number of sides.  

Names of Common Polygons:  

- A polygon with 5 sides is called a Pentagon.  
- With 6 sides, it becomes a Hexagon.  
- With 7 sides, it is a Heptagon.  
- With 8 sides, it is an Octagon.  
- With 9 sides, it is a Nonagon.  
- With 10 sides, it is a Decagon.  

Quick Insight:  

As the number of sides increases, the polygon becomes more complex, but the sum of its exterior angles remains constant at 360°, a fascinating fact that holds for all polygons.  

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