Yellowbeard, dbh is officially measured at 4.5' above the ground. Your notch sounds about right depth, though I use a 70 degree angle on the notch. As soon as that notch closes up when the tree is falling, everything else is gravity. The 70 degree notch holds it almost all the way to the ground. I don't understand your comment about turning the saw over to cut from the other side of the tree. I work from both sides of trees and have never had to turn the saw over. Even if the bar reaches all the way through I pick the side to cut on based on hazards (mostly dead branches, which can also kill you). I have always used a half-wrap handle. Full wrap would get in the way too much.
The only advantage I can see to making the back cut at an angle is that you can do it from a standing position, which would let you move away from the tree a little quicker when it starts to fall. I run a portable band sawmill, and think about milling the log before even starting up the chain saw. An angle down would lose too much wood, and the butt would have to re-cut to straighten it out before milling. The angled back cut also would require you to judge the angle correctly, in order to leave the right amount of hinge, which may be why your hinge was angled. I make a horizontal back cut. If a wedge is required, I simply tap it in behind the saw to take the pressure off, finish the back cut, then pull the saw out, and finish driving in the wedge to fell the tree. My back cuts, by the way, are lined up with the hinge, not above or below it.
I looked through Youtube to see if I could find a video that describes the technique, and this one comes close.
This is the technique use by Game of Logging, which I highly recommend. Biggest difference is that I usually cut a lot closer to the ground.
A few tips on staying alive (others will have more, I'm sure):
1) Get protective gear-- logger's helmet, chaps & steel toe boots
2) Get your saw running reliably
3) Sounds like you were running as rough as your saw-- walk away and do the job when you're up to it, both mentally & physically
4) Look up for dead branches & vines. They kill more loggers than chain saws do.
5) Have your escape route planned out-- preferably about 45 degrees from behind the fall-- before you start to cut
6) GET TRAINING.
Game of Logging is some of the best training you can get, and will change the way you cut trees.