Variable/unknown bend angles to fit known size/angle flats

I'm turning a 3d paper art blueprint into a sheet metal sculpture. I known the size of the flats, but not the angles they should join at to form a complete, closed structure. I don't know if solidworks can join the pieces at the proper angle without me pre-specifying the bend degree. Is there a tool/method recommended to do this?

In my current sketch (below) I've imported part of the paper design, and added relations to make joined lines equal.

I tried deleting the bend lines (every internal line), creating a sheet metal base, and then using sketch bend along the bend lines, but it still requires a fixed angle. I'm new with this software, so any help is appreciated. the

SolidworksSheet Metal