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Find current through 30Ω using theveninis theorem
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Step I: Calculation of VTh

Removing the 30 Ω resistor from the network. 

Mesh 1 and Mesh 2 from a supermesh. 

Writing current equation for supermesh. 

I1I2=13   ..........................(1)

Writing voltage equation for supermesh

15015I160I240I2=015I1+100I2=150 .....................(2)

Solving equations (1) and (2) 

I1=10 A,   I2=3A

Writing VTh equation

40I2VTh50=0VTh=40I250VTh=40(3)50=70 V

Step II:*Calculation of RTh*: 

Replacing the voltage sources by short circuits and the current source by an open circuit, 

RTh=75 || 40=26.09 Ω

Step III: Calculation of IL:

IL=7026.09+30=1.25 A

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