I don't want to start an argument with julief but, I would do exactly the opposite.
Assuming you use the same wood, thickness and blade, I would reduce the angle. If you cut the first at 3 degrees and it won't open, I would change the angle to 2-1/2 degrees. If that is still not enough, I would go to 2 degrees. The closer you get to a 90 degree cut, the looser the segments will get.
It is all just a SWAG thing at first so experimentation is required to get a final answer to your question.
Rog