My spouse and I were testing angles for a shelf we wanted to tilt back ever so slightly. I was shocked by what I learned. Even 1/10th of a degree made a difference, and 1/2 a degree was "huge".
She buys picture frames at the thrift store and has me cut them down on the miter saw, sized to match her art work, and sometimes I make picture frames. You may think that it is easy to get perfect 45 degree angles on simple picture frame pieces. It isn't. It took me a long time to understand what it takes to set up a perfect 45 degree cut on the miter saw. Especially because my spouse has a basic cheap Craftsman miter saw. Setting it up to make precise, repeatable cuts takes time. Digital tools help.
(Actually, I set it up for 44.95 degrees, just the thinnest hair under 45 degrees. The tips touch and flex together ever so slightly as you clamp and glue them. It works for me; it was a trick I learned from a gnarly old guy in our woodworking club.)
I saw your star and thought, "Well, the angles line up pretty good. I wonder whether I could do better. I doubt it."
Consider using a table saw with a sled and/or jigs instead. You can achieve a very high precision with it for miter cuts. I know a bunch of people who turn segmented bowls. They need to cut precise angles that add up to a 360 degree circle like your star. They all use jigs. Nearly all of them use table saws.
Precise alignment of your saw is also a necessity, whether you are using a miter saw or a table saw.