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Quick Question: Angled Headstock

There is no true minimum, but usually 6- 8 is the bare minimum most use, and 10+ is usually around the optimum, it all depends in the builder. I use 10 and 12 for my 2 jigs. Some instruments I like a little sharper break like 4 and 5 strings, and less as the string number gets higher. 10 is always a good place to start, and if you decide you would like a little more, you can retool your jig.
 
I've lost the article, but I had a mag with a Ken Parker interview (might have been Premier Guitar?), and in it, he said he's tried many different neck angles and settled on 4.5 or might have been 4.25 degrees. He said anything less and the strings won't stay seated in the saddles. I assume anything more is then unnecessary from his view. All that said, I use 9.45 degrees and if anyone can figure out why, you get a gold star... :D