GATE Electrical Engineering (EE) 2015 Shift 2 Solved Paper

A three-winding transformer is connected to an AC voltage source as shown in the figure. The number of turns are as follows: ${\mathit{N}}_1=100,{\mathit{N}}_2=50,{\mathit{N}}_3=50$. If the magnetizing current is neglected, and the currents in two windings are $\overline{\underset{2}{\mathit{I}}}=2\angle {30}^{\circ }\mathit{A}\mathit{a}\mathit{n}\mathit{d}\overline{\underset{3}{\mathit{I}}}=2\angle {150}^{\circ }\mathit{A}$, then what is the value of the current $\overline{\underset{1}{\mathit{I}}}$ in Ampere?