The phase angle of WHAT?

Do you mean the net current?

The current through the resistor is in phase with the supply.

The current through the inductor lags 90 degrees behind the supply.

So the angle must be between 0 and 90 degrees.

If you find the current through each you can find the net current by adding the two as vectors using all the normal vector rules.

( Pythagoras, and tangent )