Katniss and Prim are angle collectors. Currently, Katniss's prized possessions are her pair of supplementary angles, where the larger angle is three times the measure of the smaller angle. Prim's favorite angles are her pair of complementary angles with the smaller angle measuring one-third the measure of the larger angle. * What are the measures of each person's angles? Show your work and/or explain how you calculated this. Peeta wants to know the sum of all four angles, and he claims he can find the sum without knowing the answers to the question above. Is he correct? Explain.