The question asked to calculate the two mesh currents, the way I was taught to do this, at least when resistors are the only components was to establish a set of simultaneous eqns, so thats what I did. After a bit of working out, I'm pretty sure you can't do this but I got rid of the j's in the equations and I was left with only I1's and I2's.

**Final answer was I1 = 10A ; I2 = 5A ...... no phases.**

Could someone put me out of my misery and let me know if this is correct?

thanks