What is it called when you ask a question, and then answer it yourself?
Could it be a rhetorical question?
Rhetorical question: any question asked for a purpose other than to obtain the information the question asks.There's also anthypophora.
Anthrypophora: a figure of reasoning in which one asks and then immediately answers one's own questions (or raises and then settles imaginary objections). Reasoning aloud.Read more here, under Related Figures: rhetorical questions