You can do some work cutting a template but 1) Make the resulting piece about 1/2 inch bigger all around until you are very experienced in in paper piecing and the specific pattern and 2) test before cutting more than one so you get a feel for the "way" the fabric appears after sewn and turned to cover the design.
Angles always cause me some issues and I have been paper piecing for a long time. Sometimes even halfway thru, I will sew a piece or two in backwards or have one too small. I also don't like to waste fabric so I start slowly and figure out the best way for the pattern I am using.