The angle being refered to has nothing to do with the relationship between voltage and current, that is a differtent topic and is called the phase angle. The angle I was refering to is called the impedance angle and is shown on a power triangle which show the relationship between true, reactive, and apparant power. (Watts being the x axis, vars being the y axis and VA being the hypotonuse).
The angle of this ?power triangle? graphically indicates the ratio between the amount of dissipated (or consumed) power and the amount of absorbed/returned power. It also happens to be the same angle as that of the circuit's impedance in polar form. When expressed as a fraction, this ratio between true power and apparent power is called the power factor for this circuit. Because true power and apparent power form the adjacent and hypotenuse sides of a right triangle, respectively, the power factor ratio is also equal to the cosine of that phase angle.