When would degree measure be appropriate?

Degree measure is a measurement of an angle or angles. It is appropriate to use it when finding measurements of a triangle in a circle. The advantage of using degrees is that they are useful in finding simple degree of angles. The con is that degrees are less used than radians because they are unnatural numbers.

When trying to figure out certain angles that are not obvious, like a scalene triangle. all we know is a+b+c=180, as none are the same, so we need a measure to find out.