$($DIFF:M$)$ X$-$rays having an energy of $160$ keV undergo Compton scattering from a free electron which is initially at rest. The scattered rays are detected at an angle $30\backslash$deg relative to the incident rays. Find the energy of the recoiling electron.

Take Planck's constant to be h $=6\mathrm{.}626*10-34$ J$$s$,$ the speed of light to be c $=3*108$ m$/$s$,1$eV $=1\mathrm{.}602*10-19$ J$,$ and the mass of an electron to be me $=9\mathrm{.}11*10-31$ kg$.$

Give your answer in eV to the nearest $1$eV$.$