Interior and Exterior Angles of Triangles by Patrick Chung

GeoGebra Commands & Parameters

1. Circle(A', r) → a_d
2. Point(a_d) → A_1
3. Midpoint(A', A_1) → A_4
4. Angle(B, A, C) → β
5. Rotate(A_1, (-β), A') → A_2
6. Midpoint(A_2, A') → A_5
7. Polygon(A, B, C) → poly1, c_1, a_1, b_1
8. Angle(C, B, A) → α
9. Angle(A, C, B) → γ
10. Max({t_1 - 1, 0}) → t_2
11. Circle(B', r) → b_d
12. Point(b_d) → B_1
13. Rotate(B_1, (-α), B') → B_2
14. Angle(B_2, B', B_1) → δ
15. CircleSector(B', B_2, B_1) → b
16. Angle(A_2, A', A_1) → ε
17. CircleSector(A', A_2, A_1) → a
18. Circle(A, r) → a_c
19. Intersect(a_c, b_1, 1) → A_3
20. Circle(B, r) → b_c
21. Intersect(b_c, c_1, 1) → B_3
22. Point(B, Vector[(Min[{t_2, 1}] * Vector[B, C])]) → H
23. Segment(B, A) → c_2
24. Segment(C, E) → c_3
25. Circle(C, r) → c_c
26. Intersect(c_c, b_1) → C_1,
27. Intersect(c_c, c_3) → C_2,
28. Corner(1, 1) → Q
29. CircleSector(A', A_5, A_4) → a_4
30. Segment(A', A_1) → a_3
31. Segment(A', A_2) → a_2
32. Midpoint(B', B_1) → B_4
33. Midpoint(B', B_2) → B_5
34. CircleSector(B', B_5, B_4) → b_4
35. Segment(B', B_2) → b_2
36. Segment(B', B_1) → b_3
37. Segment(B, D) → f