Angle Formed by 2 Chords

GeoGebra Commands & Parameters

1. Vector(A, S) → w
2. Circle(A, 1.5) → t
3. Circle(A, B) → c
4. Point(c) → C
5. Line(C, A) → a
6. Intersect(c, a, 2) → D
7. CircleArc(A, D, C) → e
8. Point(e) → G
9. Point(e) → F
10. AngularBisector(F, A, G) → l
11. Intersect(e, l, 1) → J
12. Segment(A, J) → m
13. Intersect(t, m, 1) → N
14. Translate(N, w) → N'
15. CircleArc(A, C, D) → d
16. Point(d) → H
17. Point(d) → E
18. AngularBisector(H, A, E) → k
19. Intersect(d, k) → K, Z
20. Segment(A, K) → n
21. Intersect(t, n, 1) → P
22. Translate(P, w) → P'
23. Segment(G, E) → b
24. Segment(F, H) → f
25. Intersect(f, b) → I
26. Angle(E, I, H) → α
27. Segment(A, H) → g
28. Segment(A, E) → h
29. Segment(A, F) → i
30. Segment(A, G) → j
31. CircleArc(A, F, J) → p
32. CircleArc(A, J, G) → q
33. CircleArc(A, H, K) → r
34. CircleArc(A, K, E) → s
35. Angle(H, A, K) → β
36. Angle(F, A, J) → γ
37. Angle(J, A, G) → δ
38. Angle(K, A, E) → ε
39. Point(t) → L
40. Intersect(t, i, 1) → M
41. Intersect(t, g, 1) → O
42. CircleSector(A, O, P) → d_1
43. Intersect(t, j, 1) → Q
44. CircleSector(A, N, Q) → e_1
45. Circle(I, 1.5) → g_1
46. Intersect(g_1, f) → T, U
47. Intersect(g_1, b) → V, W
48. CircleSector(I, U, W) → h_1
49. Length(w) → a_1
50. Translate(M, w) → M'
51. Angle(N', S, P') → κ
52. Vector(A, I) → u_1
53. CircleSector(A, M, N) → p_1
54. Line(A, b) → c_1
55. Line(A, f) → f_1
56. Intersect(t, c_1) → R, A_1
57. Angle(P, A, A_1) → θ
58. Intersect(t, f_1) → B_1, C_1
59. Angle(N, A, C_1) → θ_1
60. Dilate(A, If[0 ≤ v ≤ 1, 1 - v, 0], I) → A'
61. Dilate(A, If[1 < v ≤ 2, 2 - v, 0], I) → A'_1
62. Vector(A, A') → u
63. Vector(A, A'_1) → v_1
64. Translate(e_1, u) → k_1
65. Translate(d_1, v_1) → q_1
66. Rotate(k_1, If[0 < v ≤ 1, (v * θ_1), θ_1], A') → r_1
67. CircleSector(I, U, W) → s_1
68. Rotate(q_1, If[1 < v ≤ 2, ((v - 1) * θ), θ], A'_1) → t_1