Question

Are you able to find tri-sector (equally divided by 3) rays for an arbitrary angle with straightedge-and-compass construction?

Answer 1

Explanation:

No, it is an ancient problem which has been proved to be impossible (in 1837), at least not for an arbitray angle.

However, we can trisect certain angles, such as 90 degrees, but rather than trisection, we are just constructing 30 degree angles.

For further reading, google "angle trisection"