Final answer:
Without additional context or a diagram, we cannot determine the measures of angles P and S based solely on the values of ZP and ZS.
Typically, geometry problems may require the use of the Law of Sines or Law of Cosines to calculate unknown angles.
Step-by-step explanation:
To determine the measures of angles P and S, we need additional context such as a diagram or further explanation of how the angles relate to each other or to other elements in a geometry problem.
Without context, it is impossible to accurately provide the measures of angles P and S solely based on the given information (ZP and ZS measures). In typical geometry problems involving angles, one might use principles like the Law of Sines or the Law of Cosines, but these require information about the sides of the triangle or other angles to calculate unknown angles.
If ZP and ZS are supposed to be angles within the same triangle, then the angles must add up to 180°. Therefore, if ZP and ZS are complementary (add up to 180°), we could determine the measures of angles P and S.
For instance, if ZP is 20° and ZS is 160°, then they are already complementary and those would be the measures of angles P and S respectively.