Let's restart. I did a lot of problems for those (Kirchoff's Laws, and Ohm's Laws too, but that's kind of trivial) and my answers matched the answer keys. (For what it's worth, my studying wasn't using Khan Academy, but still.) If I noticed I didn't understand something, I would just say it.
I think my struggle is with making the Wikipedia line circuits (and also the other image(s)) be loops on which I can use those theories, as opposed to lines like what Wikipedia (and other sources) show(s). I don't know if that makes sense. All the problems I've done were loop-y, not line-y. In other words, this doesn't look like the circuits in textbook problems to me.
I think it's just the beginning, of setting up the problem, that I don't get here, when it comes to applying Kirchoff's Laws. Plus, I'm not entirely sure why that's desired. I know Kirchoff's Current Laws are used for nodal analysis to get nodal voltages (by using nodal voltages across resistors to determine currents flowing into or out of any given node and then solving the system of equations obtained). I'm guessing that's what the attempt to get me to see is, specifically since logic is voltage-controlled, but the switches being opened further complicate that for me and pretending that that's an infinite resistance can yield a wacky result?