MathPlotAI Logo MathPlotAI

Triangle's Exterior Angles

Triangle's Exterior Angles
Loading the math board and drawing, please wait…
2015-10-24 08:25
TriangleAngleGeometric Construction
In collections Polygons & Angles Polygons & Angles Polygons & Angles Geometry: Polygons & Angles Geometry: Polygons & Angles Polygons & Angles
This example demonstrates the properties and sum of exterior angles in a triangle. It involves core math concepts like the exterior angle theorem and angle sum theorem. Constructed using commands such as Circle, Point, Line, Intersect, Rotate, and Angle, it illustrates how exterior angles relate to interior angles. Suitable for middle school students and geometry education.

GeoGebra Commands & Parameters

  1. Circle(A, 8 - a) → c
  2. Point(c) → B
  3. Line(A, B) → b
  4. Intersect(c, b, 2) → C
  5. Rotate(B, 120°, A) → B'
  6. Angle(B, A, B') → α
  7. Rotate(B', 120°, A) → B''
  8. Angle(B', A, B'') → β
  9. CircleArc(A, B, B') → d
  10. CircleArc(A, B', B'') → e
  11. CircleArc(A, B'', B) → f
  12. Point(d) → D
  13. Point(e) → E
  14. Point(f) → F
  15. Ray(D, E) → g
  16. Ray(E, F) → h
  17. Ray(F, D) → i
  18. Circle(D, 1.5) → k
  19. Circle(E, 1.5) → p
  20. Circle(F, 1.5) → q
  21. Intersect(k, g, 1) → G
  22. Intersect(k, i, 2) → H
  23. Intersect(p, g, 2) → I
  24. Intersect(p, h, 1) → J
  25. Intersect(q, h, 2) → K
  26. Intersect(q, i, 1) → L
  27. CircleSector(D, H, G) → r
  28. CircleSector(E, I, J) → s
  29. CircleSector(F, K, L) → t
  30. Polygon(E, F, D) → poly1, d_1, e_1, f_1