Meanwhile, slice angel food cake into 12-14 pieces, or to desired thickness. In a shallow dish, combine eggs, milk, vanilla, cinnamon and nutmeg. Melt 1 tablespoon butter in a large nonstick skillet over medium heat. Dip half of the slices (or as many that will fit in your skillet) into the egg mixture, resting for a few seconds on each side. Add the coated slices to the heated skillet and cook until golden brown, about 2-3 minutes. Melt 1 more tablespoon butter in skillet and repeat with remaining slices.