The phrase "certain degree" means to some extent or to a certain level. It indicates that something is true or present to a limited or specific extent. Full definition
It is not surprising for pet parents to suffer from certain degree of anxiety when they have to leave their furry friends home alone. (practical-pet-care.com)
There are different kinds of grants available for need - based students, exceptionally talented students, specific areas of study, and industry sponsored grants for students with certain degree types. (cheapscholar.org)
Employers like to see that you've completed some form of professional development and often actively screen for certain degree levels and majors, or certain certifications. (resume-now.com)