Determine the currents i1, i2 and i3.

Dear Student,



We know that according to junction rule the sum of current flowing in to that junction is equal to the sum of current flowing out to that junction.
Just apply junction rule at the point A , B and F. 
Like, apply junction rule at the point A  then you will get 
i₁ = 13A
​So after applying junction at the others point you can get i₂ and i₃ easily.

Regards
Manoj Singh