Nouns

(n)degree, grade, levela position on a scale of intensity or amount or quality“a moderate grade of intelligence”, “a high level of care is required”, “it is all a matter of degree”
(n)degree, level, stage, pointa specific identifiable position in a continuum or series or especially in a process“a remarkable degree of frankness”, “at what stage are the social sciences?”
(n)academic degree, degreean award conferred by a college or university signifying that the recipient has satisfactorily completed a course of study“he earned his degree at Princeton summa cum laude”
(n)degree, arcdegreea measure for arcs and angles“there are 360 degrees in a circle”
(n)degreethe highest power of a term or variable
(n)degreea unit of temperature on a specified scale“the game was played in spite of the 40-degree temperature”
(n)degreethe seriousness of something (e.g., a burn or crime)“murder in the second degree”, “a second degree burn”