Stephen H. answered 03/12/23
Tutor of Math, Physics and Engineering ... available online
... maximum power is transferred when the load impedance is made to be the complex conjugate of the source impedance. The source impedance is 120+j60 thus the load impedance must be 120-j60 for max power transfer. The current is then (165/240) = .6875 amps and the power into the load is 120*(.6875)^2=56.7 watts