GeoGebra construction: Dihedral angle with dynamic angle

Suppose you want to draw a dihedral angle A-BC-D with dynamic angle

  1. Plot points A, B and C at arbitrary locations
  2. Draw plane p that passes through A, B and C
  3. Draw line f that passes through B and C
  4. Define slider for the arbitrary angle α=Slider(0°,180°,1°)
  5. Evaluate the following command D=Rotate(A,α,f)
  6. Draw plane q that passes through B, C and D.
  7. Bonus: Show angle between planes p and q
    • Draw perpendicular line g from D to f
    • Find intersection point F between g and f
    • Draw angle between A, D and F
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