Welcome to Inkscape Community!
The Ctrl key might be very handy, if you didn't want to use a grid. By default, holding the Ctrl key while drawing the Pen/Bezier tool, will make angles in 15° increments. And I'm pretty sure you can change that to something besides 15°. Let's see....
Yes, Inkscape Preferences > Behavior > Steps > Rotation snaps every.....degrees. It has a dropdown menu with many options, and I'm pretty sure you can type any number in there that you want.
Have fun!