In the 190 there were three flap positions available: Retracted, take-off (13 degrees) and landing (58 degrees). The flaps were electrically actuated and the pilot selected flap positions with push-buttons in the cockpit.
As for 109s using flaps in combat here's an anecdote from a Pony driver named John C. Meyer on May 12, 1944:
"In about a turn and a half, I was on his tail. Then he dropped some flaps, unlike other Huns, who in similar situations have broken for the deck and set themselves up and I was unable to get sufficient deflection. This Jerry continued his tight turn and seemed very willing to continue the fight. I tried dropping ten degrees, then 20, of flaps and although this helped momentarily to decrease the radius of the turn, my airspeed dropped off so much that nothing was gained by this."