Find the voltage across a resistor in a difficult circuit

[Juwane]

Homework Statement

Find the voltage across R1 (see attached image).

Note that all values are known.

Homework Equations

Voltager divider might be used. I hope KVL doesn't have to be used here.

The Attempt at a Solution

My problem is that I don't know if the current from I1 is going into the path in which there is R3, because there would be current in the opposite direction (downwards) coming from I2. Do I need to use such anaylses as Thevenin or mess analysis to find the current through R1?

 

[berkeman]

Homework Statement

Find the voltage across R1 (see attached image).

Note that all values are known.

Homework Equations

Voltager divider might be used. I hope KVL doesn't have to be used here.

The Attempt at a Solution

My problem is that I don't know if the current from I1 is going into the path in which there is R3, because there would be current in the opposite direction (downwards) coming from I2. Do I need to use such anaylses as Thevenin or mess analysis to find the current through R1?

I'd just use KCL equations.