01 - Bring a large pot of salted water to a boil. Cook angel hair pasta according to package instructions until al dente. Reserve 1/2 cup pasta cooking water, then drain and set aside.
02 - Pat the shrimp dry and season with salt, pepper, and red pepper flakes.
03 - In a large skillet over medium-high heat, melt 1 tbsp butter with 1 tbsp olive oil. Add shrimp in a single layer and cook for 1-2 minutes per side, just until pink and opaque. Transfer shrimp to a plate.
04 - In the same skillet, add remaining butter and olive oil. Add garlic and sauté for 30 seconds until fragrant, but not browned.
05 - Stir in lemon zest, lemon juice, and wine, scraping up any browned bits. Simmer for 1-2 minutes to reduce slightly.
06 - Return shrimp to the skillet, add drained pasta, and toss gently to combine. If needed, add reserved pasta water a little at a time for a silky sauce. Stir in parsley, adjust seasoning with salt and pepper, and serve immediately with extra lemon wedges.