Open Middle: Same-Side Interior or Exterior Angles

Your task:

Without repeating digits, change the input boxes on the left try to make lines a and b parallel. You can move the LARGE POINTS if you wish! The picture on the right IS drawn to scale.

Explain how you know your setup causes lines [b]a[/b] and [b]b[/b] to be parallel. What exactly justifies this?

Create another setup (different from the one you made above) that causes lines a and be to be parallel. Be sure not to repeat digits!

Create another setup (different from the two you made above) that causes lines a and be to be parallel. Be sure not to repeat digits!

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Information: Open Middle: Same-Side Interior or Exterior Angles