Full problem statement and diagram is attached.
Kirchhoff's rules, ohm's law
The Attempt at a Solution
So I presume that what I'll be looking at here is the use of Kirchhoff's Rules and Ohm's Law. I do not know how to approach this as I have never come across a problem involving a triangular loop. Are the resistors in series in this loop? They must be, but what does that give me? Can I collapse all three of them into one resistor? Would that benefit me? Also, I've split I1 at the top of the middle wire, giving me I3 going down and splitting up again around the triangle, giving me I5 going down through R2, and a new current I4 going through R3, as well as I2 going through R5 and continuing throughout the right loop. Is this correct?
These are unfinished obviously as I'm unsure of how to proceed, but I have: LeftLoop: -I1R1 - I3R3 + 3V = 0
MiddleLoop: I5R2 - I4R3 ... ? = 0
RightLoop: I4R3 - I2R5 - 6V = 0
I've chosen all loops to be clockwise. Please get back to me, appreciate ya