This is another example of a question that provides an excellent opportunity to highlight your resume. Assuming you've done your homework, you already know what kind of educational background the company looks for in its applicants. If you think your own degree is a good match, play coy and ask the recruiter to talk about the educational background of the ideal candidate.
Without seeming too obvious, segue into your own educational experience. If you went to a brand-name institution, don't be shy about name-dropping. Frankly, that's half the reason you went there. But beyond naming degrees and programs, give the recruiter a specific story to remember. Explain how an internship, study abroad experience or senior capstone project ignited your interest in the field and set you on the path to professional accomplishment.