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Exterior Angles Theorem

Exterior Angles Theorem
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2016-10-02 09:54
PolygonAngleGeometric Construction
This example demonstrates the exterior angle theorem, which states that an exterior angle of a polygon is equal to the sum of the two non-adjacent interior angles. Key mathematical concepts include the exterior and interior angles of polygons. Using GeoGebra commands such as Polygon, Ray, Point, and Angle, the example dynamically illustrates the relationship between exterior and interior angles. Suitable for students in middle school and above studying polygon geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Ray(A, C) → f
  3. Ray(C, B) → g
  4. Ray(B, A) → h
  5. Point(f) → D
  6. Angle(B, C, D) → α
  7. Point(g) → E
  8. Point(h) → F
  9. Angle(E, B, A) → β
  10. Angle(F, A, C) → γ
  11. Angle(C, B, A) → δ
  12. Angle(B, A, C) → ε
  13. Angle(B, C, A) → ζ