Open Middle Challenge: Parallel Lines & Related Angles

GeoGebra Commands & Parameters

1. Rotate(C, ((-o) * π / 180), D) → C'
2. Line(D, C') → l_1
3. Textfield(a) → a1
4. Textfield(b) → a2
5. Textfield(c) → a3
6. Textfield(d) → a4
7. Textfield(e) → a5
8. Textfield(f) → a6
9. Textfield(g) → a7
10. Textfield(h) → a8
11. Textfield(i) → a9
12. Line(A, B) → l
13. Rotate(A, ((-j) * π / 180), B) → A'
14. Ray(B, A') → m
15. Angle(A', B, A) → α
16. Ray(B, A) → n
17. Rotate(A', ((-k) * π / 180), B) → A''
18. Ray(B, A'') → p
19. Angle(A'', B, A') → β
20. Ray(D, C') → r
21. Rotate(C', ((-((10 * h) + i)) * π / 180), D) → C''
22. Ray(D, C'') → s
23. Angle(C', D, C) → γ
24. Angle(C', D, C'') → δ
25. Mode(l1) → l2
26. Line(E, m) → t
27. Point(t) → F
28. Rotate(F, (-β), E) → F'
29. Ray(E, F') → f_1
30. Angle(F, E, F') → ε
31. Ray(E, F) → g_1
32. Point(l_1) → G
33. Line(G, r) → h_1
34. Line(G, s) → i_1
35. Point(h_1) → H
36. Rotate(H, ((-((10 * h) + i)) * π / 180), G) → H'
37. Angle(H', G, H) → ζ
38. Ray(G, H) → k_1
39. Line(G, H') → j_1
40. Point(j_1) → I
41. Point(l_1) → J
42. Angle(I, G, J) → η
43. Line(D, C) → q
44. Point(l_1) → K
45. Rotate(K, (((10 * a) + b) * π / 180), D) → K'
46. Angle(K, D, K') → θ
47. Ray(D, K') → m_1
48. Rotate(K', (((10 * c) + d) * π / 180), D) → K''
49. Ray(D, K'') → n_1
50. Angle(K', D, K'') → ι
51. CountIf(x ≟ Element[l2, 1], l1) → u
52. Length(l2) → v
53. If(v ≟ 1, "digit", "digits") → text3
54. Sequence(CountIf[x ≟ i, l1], i, 1, 9, 1) → l3, {1, 1, 1, 1, 0, 1, 1, 1, 1}
55. If(v ≟ 0, "No digits repeat.", "You have repeated digits.") → text2