Maybe I'm just igurnunt here, but I don't see a whole lot of purpose in measuring the angles unless one is trying to replicate someone else's recipe. Not, mind you, that it's a bad idea to try what someone else is doing. It's just that is the only reason that jumps out at me for caring about specific angles on tools.
I just sharpen my tools and If I want more or less angle (for whatever reason) I sharpen the tool with more or less angle according to my whim. I don't pay a whole lot of attention to the exact angle.
If one day I read that some esteemed craftsman insists that angle X is the bee's knees for a certain tool or application, and I also happen to be having some similar issue or concern, then I may (or not) look at my tool and ask if maybe something closer to that recommendation might be just the ticket. I can sort of hit any given angle by eye within a couple degrees.
Mind you, I know plenty of galoots who fuss over the angle to which they sharpen their plane irons invoking a level of particularity and care that I'd hope my heart surgeon has when he does his aorta stitching job, but I sort of think the galoots are over-playing it a bit.