Definition of "Degree" :
noun: a position on a scale of intensity or amount or quality
"It is all a matter of degree."
noun: the seriousness of something (e.g., a burn or crime)
"Murder in the second degree."
noun: the highest power of a term or variable
noun: an 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."
noun: a measure for arcs and angles
"There are 360 degrees in a circle."
noun: a unit of temperature on a specified scale
"The game was played in spite of the 40-degree temperature."
noun: a specific identifiable position in a continuum or series or especially in a process
"A remarkable degree of frankness."