Your confusing yourself.
The sharpened edge is a "V" of two intersecting planes on which you use a abrasive to thin and refine to a point of desired sharpness. It's one angle per side. Once your sharpening has advanced enough to be concerned with relief bevels, micro bevels, and hamaguri grinding methods then you can drive yourself nuts like the rest of us. For now keep it simple.
A mora is a good learning tool to help you understand the hand movements for freehand. It's a single grind angle though and not something you typically put compound bevels on.
If you need a cheap coarse stone Home Depot sells a Norton for about $5