Interior Angles and Exterior Angles of Polygons 

 
4.2   Interior Angles and Exterior Angles of Polygons 
 
Interior angle
  • It is an angle that is shaped by two adjacent sides of a polygon.
  • Angle \(a, b, \) and \(c\) are interior angles.
  • Interior angle \(= \dfrac{(n-2) \times 180^{\circ}}{n}\)
  • Total sum of interior angles \(= (n-2) \times 180^{\circ} \)
Exterior angle
  • It is an angle that is formed when one side of the polygon is extended. 
  • It is also known as a complement to an interior angle of the polygon.
  • Exterior angle \(= \dfrac{360^{\circ}}{n}\)
  • Total sum of exterior angles \(= 360^{\circ} \)

Interior Angles and Exterior Angles of Polygons 

 
4.2   Interior Angles and Exterior Angles of Polygons 
 
Interior angle
  • It is an angle that is shaped by two adjacent sides of a polygon.
  • Angle \(a, b, \) and \(c\) are interior angles.
  • Interior angle \(= \dfrac{(n-2) \times 180^{\circ}}{n}\)
  • Total sum of interior angles \(= (n-2) \times 180^{\circ} \)
Exterior angle
  • It is an angle that is formed when one side of the polygon is extended. 
  • It is also known as a complement to an interior angle of the polygon.
  • Exterior angle \(= \dfrac{360^{\circ}}{n}\)
  • Total sum of exterior angles \(= 360^{\circ} \)