Depending on the context in which it is used, the term degree will have different references.
In general terms, the word degree will be used to refer to each of the different states, values and qualities that a thing can display in relation to greater or lesser..
In schools for example, each of the sections in which students are grouped, by age, knowledge, among other issues, is called grade. Initial grade, middle grade, first grade, second grade, among others.
Meanwhile, continuing in an academic context but now in a higher stage such as that of the University, an academic degree is called the distinction that an institution grants after the successful completion of a study program.
On the other hand, to instances of mathematics and geometry, the term holds a special participation in them. For geometry it is the unit of measure of the angles that will be equal to each of the 360 equal parts into which a circumference can be divided. And in mathematics, more precisely in an equation or polynomial reduced to rational form, the degree will be that of the term in which the variable has the greatest exponent.
And finally when it comes to climate, meteorology and temperature, the degree is the unit of measure through which the temperature is measured.