Final answer:
Supplementary angles are two angles whose sum is 180 degrees. Examples include 30.1 degrees and 149.9 degrees, which are supplements of each other, unlike 23.6 degrees and 53.1 degrees, which do not sum to 180 degrees and therefore are not supplementary.
Step-by-step explanation:
To name the supplementary angles, we must understand that supplementary angles are two angles whose sum is 180 degrees. In a triangle, the sum of angles is always 180 degrees, so when we are looking for supplementary angles outside of a triangle, we are looking for two angles that together form a straight line.
For example, if one angle is 30.1 degrees, then to find its supplement, we subtract this value from 180 degrees: 180 degrees - 30.1 degrees = 149.9 degrees. Thus, the two angles 30.1 degrees and 149.9 degrees are supplemental since their sum equals 180 degrees.
Another pair given as an example are 23.6 degrees and 53.1 degrees. To verify if they are supplementary, we add them: 23.6 degrees + 53.1 degrees = 76.7 degrees. Since this sum does not equal 180 degrees, these two angles are not supplementary.