I don't think you need the top half of the work, but how did my professor get the section in the blue.

I don't think you need the top half of the work, but how did my professor get the section in the blue. please make the soultion easy to read.

in the blue section the equations are (I understand how he got Vin)

Vl = 10.477 +j119.04

Vc = -9.711 - j110.333

Vr = 99.22 - j8.73