How to Align Reference Plane with lines that created it?

I want to create a reference plane that is aligned to 2 lines. Then I want the edges of the plane aligned with the lines and the sketch coordinate system aligned with the lines as well.

For example: 2 perpendicular lines are at 45 degrees from horizontal. I want to insert a plane between them and have it's edges aligned to them. Then on the sketch I would like the horizontal to be parallel to the line that is at 45 degrees in the global system.

Is this possible?

Thanks,

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