Sprinkle the chicken with salt and pepper and dredge in flour
Heat 2 T butter and 2 T oil in a large skillet
Add the chicken and brown on both sides over medium high heat, about 5 minutes on each side
Lower the heat, add the wine, chicken broth, and the juice of 2 lemons
Add a little more salt and pepper, and let it bubble on the stove, whisking and scraping the bottom of the pan until the sauce reduces by about half and the chicken is cooked through
Add the capers and the rest of the butter
Reduce the heat to low and add the cream and let it cook for a few more minutes
Cook the Angel Hair according to the package directions
Serve the chicken next to the pasta with a little of the sauce drizzled on top