Can't believe no one corrected your post till now. Please, go read an aerodynamics textbook before commenting on anything technical.
Retracting flaps REDUCES the angle of attack, and extending flaps INCREASES AoA. The Angle of Attack (AoA) is the angle between the relative wind and the chord line of the wing. The chord line is the line between the leading edge and trailing edge. The trailing edge changes when the flaps are extended or retracted. When flaps are extended, the trailing edge lowers relative to the existing chord line, the chord line steepens relative to the relative wind, and the AoA increases.
Do you want to get technical? I don't think it's as simple as you make it out to be. Every time you change configuration, you also get a whole new airfoil, complete with a new critcal AOA. The camber is effectively increased with flap deployment in most cases.
I suspect lowering the flaps at a given weight, in level flight, at a given speed will increase your AOA, but also given you a greater margin to your critical AOA. This obviously comes at a price, greater drag, especially with final flaps in most planes.
Consider a regional aircraft in it's landing configuration, that gets too slow. If you retract the flaps, it WILL lower the AOA, but you probably won't have enough lift from the resulting configuration to maintain level flight. Is reducing the AOA by retracting flaps always the best course of action?
Fly Safe,
Lilah
Edit: Crossky, I don't really think you OR embpic1 were advocating retracting the flaps as a first step of stall recovery, I just think you were a little harsh on his comment. To me, he clearly implied that retracting the flaps would bring you closer (or exceed) your critical AOA if you were trying to maintain level flight.
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