I think I got it now. Didn't notice the word "acute", probably because I usually don't do math in english.
An acute angle is an angle x with 0
There are still more solutions: all angles of the form \(\frac{(2n-1)\pi}{10}\) (with n a natural number). So with n=1, we get your solution π/10, and with n=2, we get 3π/10. n=3 gets us π/2, wich is no acute angle, so π/10 and 3π/10 are the only solution to your question. That let's us solve the rest: The sum is π/5, so a+b=6.