I graduated with a mechanical engineering degree and got into an industry that I didn't particularly care for out of college. I sat at a computer working in 2d autocad all day. It was supposed to just be a pay check while i searched for my dream job and ended up lasting 6 years. Long story short, through my entire year long search for a "dream job", every company I interviewed with said they didn't care about degrees, they just wanted someone with experience. When I interviewed for programming positions, they just wanted a strong portfolio. When i got tired of interviewing for programming positions for over a year and not even getting one offer, I changed my search to linux system administration and found a job within a month. I got a junior position and my boss said he didn't really mind that I am lacking in the more technical aspects of networking and such. I think it mostly came down to me presenting myself in a professional manner at my interview, having general corporate experience, being organized, and generally not being an idiot. Apparently the only other person they interviewed didn't even come in, it was over skype and the girl didn't even dress up. And there were about 30 other resumes, some of them were University of Phoenix grads. My boss just laughed at them.
so, tl;dr: as long as you know your stuff, it doesn't matter what your degree is in.