Fundamentals Of Electric Circuits Practice Problem 12.2

A step-by-step solution to Practice problem 12.2 from the 4th edition of Fundamentals of electric circuits by Charles K. Alexander and Matthew N.O. Sadiku. The values in the question may be different from the ones you have in the edition you're using but the approach should be the same.
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[@felipeleivarumie8974]

Nice, i was looking for this because the 5th edition shows that Ic = 3.75∠-111.34°, but i was pretty sure that the angle should be positive.

[@loyalleo467]

Hello thank you for your videos, I hope all Electrical engineering students (or just anyone wanting to learn) takes a chance to appreciate your videos. I would like to ask you a question, for this problem, the book says the answer to Vca is 207.8

[@KhetzTutorials]

The question specifically says a positive sequence, so that should guide your signs. Back to the angles, remember that -180 is at the exact same position as 180 on a CAST diagram, for example. A 30 lag would mean that the phase voltage would be at -210, which corresponds to 150. A rule of thumb would be to just add 360 to get a positive angle. 360 is a revolution, so it takes you to the exact same point