The way I look at a degree is that it shows an employer you have the ability to learn how to do the job in whatever field you gained the degree, but the degree in and of itself does not mean you have any job skills in whatever field you go into.

The funny thing is even though I have a BSME I've never really worked as a mechanical engineer and the one class that could be said to be helpful was an EE class, circuits. But I'd taken an electronics class in high school which had already given me the understanding of basic circuits and ohms law.