You can park in any "pay-and-display" spot. If there are public parking spots that aren't "pay-and-display", I'm not sure the law applies. It also doesn't apply to lots or green-Ps.

Yes, you can park between "parallel to curb" and 60 degrees. That means you can't jam it in between cars at 90 degrees to the curb. They want to make sure that you don't interfere with cars' ability to get in and out of parallel parking spots in front of and behind you, I presume.

--- D