I am a first-time founder, I am broke and I am taking angel money. Because I am broke! In his line of thought, the OP is not considering "broke" as actually broke. He is imagining some kind of "broke" where you still can pay your bills, your food, your rent.
No, I am broke. I have two options for January/2014: (i) get some angel money, aka, be paid to work on my own company or (ii) get a day job and turn my startup on a side-project, aka, killing its chances to be something profitable.
This is not about risk, i am broke. No bootstrapping options for me anymore, this ship has sailed. So, angel money is a much better option. If I make a success out of this company, even if this does not make me rich, now I am a experienced founder, with a track-record and, some money. I can bootstrap my next company with far less risk and even fundraise on much better terms. But now? I am broke, that's the point.