Final answer:
The question involves understanding that supplementary angles add up to 180 degrees. To answer which expressions could represent supplementary angles r and s, one would need to set up and solve an equation where r + s = 180 degrees. However, based on the provided options, none directly represent a supplementary angle relationship.
Step-by-step explanation:
When discussing supplementary angles, we are referring to two angles whose measures add up to 180 degrees. In this case, angles r and s are supplementary, which means that r + s = 180 degrees. However, we only have the expression \( \frac{1}{3}(r - 8) \) degrees and \( \frac{1}{3}(r + 8) \) degrees provided as options to evaluate. None of the options mentioned directly pertain to the concept of supplementary angles, since they do not together form an equation that adds up to 180 degrees. To understand the relationship between angles r and s, we can assume s = 180 - r and then solve for s, given r.