Finding L and R in AC circuit
Here's a hint (or two): -


Draw a triangle with sides of length 4, 3 and 2
Each side represents the angle and magnitude of the currents relative to each other
Calculate those angles using trig (here)
The side that is length 2 is resistive (R1)


The angle of side "3" relative to angle of side "2" is due to the presence of the inductor in series with R2.

After that you are nearly there.