Open Middle Challenge: Parallel Lines and Related Angles

Your task:
Without repeating digits, change the input boxes on the left try to make lines a and b parallel and the rest of the diagram true. The picture on the right IS drawn to scale. LARGE POINTS are also moveable.
Where would it [b]not[/b] be ideal to put a 0? Why is this?
Where would it [b]not[/b] be ideal to place a 5? Why is this?
What other frustrations or roadblocks did you run into while attempting the problem above? Explain.
Can you create another setup (without repeated digits) that is different from the one you created above? Try to do so!
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