I did not word that correctly. I was trying to say that you will often see a result with an angle between 270 and 360 degrees represented as a negative angle between 90 and 0 degrees in the 4th quadrant.
Similarly, you will often see a result with an angle between -270 and -360 degrees represented as a positive angle between 90 and 0 degrees in the 1st quadrant.
As for V1n and V2n, they can be represented in many valid ways. I usually use 0 and 180 but here are some ways for the values you gave:
V1n = 120V@90 = 120V@-270 = 0 + j120
V2n = 120V@-90 = 120V@270 = 0 - j120
Not sure if that is what you meant by "the other way around".