Making angle accurately may be difficult, but you don't really have to
make it accurate, your holes could be as much as 1/32" off their
intended locations - the set was designed with plenty of error
tolerance so it could be made without precision tools and still work.
I made most of the original set manually without even a drill press -
it works fine.
A lasercut template to start off is a good idea as it makes things easier.
Vitaly