Bert,
Your way is absolutely fine and will work as long as there are long enough pieces of angle laid inside and holes drilled or blown that are close to the crack and the entirety is welded around the outside of the angle, the holes are welded and the original crack is repaired first. Otherwise, there is still a weakness both vertically and horizontally if the holes are not put into place to keep the original frame and the angle from trying to separate during operations.
Having welds X-Rayed due to building Department of Transportation Over the Road Heavy Load Rigs with modified frames, NHRA & IHRA sanctioned drag racing vehicles, IMSA & NASCAR circle track race cars will make you weld the way they want it regardless of how we want to weld. lol.
Didn't mean to imply my example is any better.
Always a pleasure to hear and see your comments, Sir.
Max