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Jobs may require a certain skill set, or experience with certain skills, so it really depends on what your background is to say what jobs you could obtain with your degree. On the other hand, many skills can be applied to many different job responsibilities even if it is not an art driven position. Art jobs may include graphic designer, advertising firm, animator, photographer, illustrator, performer, fashion designer, client director, production artist. "Art is everywhere," especially with advancement in modern technology.
There are plenty of career options that you can find with a Fine Arts degree, however be aware that the fine arts are a very tough field to be successful in, as most do not provide financial stability. They're also exceptionally demanding and competitive. I don't say this to steer you away from your goals! I was always told that if you're passionate about what you do, you will succeed. However, you have to smart about it along the way. I have held multiple jobs with a fine arts degree. Did you already receive this degree or are you still in school? Fine Arts is a very broad spectrum. What in particular are you interested in/want to pursue?