Answer
The kinetic energy of the electron is $8.2~keV$
Work Step by Step
In part (a), we found that the energy of the backscattered photon is $~~41.8~keV$
The original energy of the photon was $50.0~keV$
The energy lost by the photon is $8.2~keV$
By conservation of energy, the kinetic energy of the electron is $8.2~keV$