I don't have a definite answer, but I think I know what you need to look for.
From Yale:
An Historical Overview of the Discovery of the X-Ray
From this, it appears that in Röntgen's Lenard tube, the X-rays were produced by cathode rays (electrons) impinging on an aluminum sheet ("window") in the wall of the tube.
If the electron energy is above the K-shell ionization energy for aluminum, then it can kick out a K-shell electron, and you can have K-shell emission.
So you need to find out the K-shell energy for aluminum, and the voltage on Röntgen's Lenard tube (which gives you the energy of the electrons in eV).
Below the K-shell energy, it can be only bremsstrahlung. Above that energy, both processes can take place.
By a strange coincidence, last week, while traveling through Germany, I stood outside the building in Würzburg where Röntgen made his discovery. Unfortunately, the museum inside was closed that day.
