Investigate the sum of exterior angles in polygons

GeoGebra Commands & Parameters

1. Polygon(A, B, C) → poly1, c, a, b
2. Polygon(D, E, F, G) → poly2, d, e, f, g
3. Polygon(H, I, J, K, L) → poly3, h, i, j, k, l
4. Angle(I, H, L) → θ
5. Angle(H, L, K) → ι
6. Angle(L, K, J) → κ
7. Angle(K, J, I) → λ
8. Angle(J, I, H) → μ
9. Segment(M, N) → m
10. Segment(N, Q) → n
11. Segment(Q, O) → p
12. Segment(O, R) → q
13. Segment(R, P) → r
14. Segment(P, M) → s
15. Polygon(M, N, Q, O, R, P) → poly4, m_1, n_1, q_1, o, r_1, p_1
16. Angle(P, M, N) → ν
17. Angle(M, N, Q) → ξ
18. Angle(N, Q, O) → ο
19. Angle(Q, O, R) → ρ
20. Angle(O, R, P) → σ
21. Angle(R, P, M) → τ
22. Vector(A, B) → u
23. Segment(B, S) → t
24. Vector(B, C) → v
25. Segment(C, T) → a_1
26. Vector(C, A) → w
27. Segment(A, U) → b_1
28. Angle(S, B, C) → υ
29. Angle(T, C, A) → ϕ
30. Angle(U, A, B) → χ
31. Vector(D, E) → z
32. Vector(E, F) → u_1
33. Vector(F, G) → v_1
34. Vector(G, D) → w_1
35. Segment(V, E) → c_1
36. Segment(D, A_1) → d_1
37. Segment(W, F) → e_1
38. Segment(Z, G) → f_1
39. Angle(V, E, F) → ψ
40. Angle(W, F, G) → ω
41. Angle(Z, G, D) → α_1
42. Angle(A_1, D, E) → β_1
43. Vector(H, I) → z_1
44. Vector(I, J) → g_1
45. Vector(J, K) → h_1
46. Vector(K, L) → i_1
47. Vector(L, H) → j_1
48. Vector(M, N) → k_1
49. Vector(N, Q) → l_1
50. Vector(Q, O) → s_1
51. Vector(O, R) → t_1
52. Vector(R, P) → u_2
53. Vector(P, M) → v_2
54. Segment(H, F_1) → a_2
55. Segment(I, B_1) → b_2
56. Segment(J, C_1) → c_2
57. Segment(K, D_1) → d_2
58. Segment(L, E_1) → e_2
59. Segment(M, G_1) → f_2
60. Segment(N, H_1) → g_2
61. Segment(Q, I_1) → h_2
62. Segment(O, J_1) → i_2
63. Segment(R, K_1) → j_2
64. Segment(P, L_1) → k_2
65. Angle(F_1, H, I) → γ_1
66. Angle(B_1, I, J) → δ_1
67. Angle(C_1, J, K) → ε_1
68. Angle(D_1, K, L) → ζ_1
69. Angle(E_1, L, H) → η_1
70. Angle(N, M, G_1) → θ_1
71. Angle(Q, N, H_1) → ι_1
72. Angle(O, Q, I_1) → κ_1
73. Angle(R, O, J_1) → λ_1
74. Angle(P, R, K_1) → μ_1
75. Angle(M, P, L_1) → ν_1
76. Angle(C, B, A) → α
77. Angle(A, C, B) → β
78. Angle(B, A, C) → γ
79. Angle(F, E, D) → δ
80. Angle(G, F, E) → ε
81. Angle(D, G, F) → ζ
82. Angle(E, D, G) → η