KP || NM, ZNKP = 120°. Find ZN, ZM.

Since KP || NM, ZNKP and ZN are consecutive interior angles, so ZN + ZNKP = 180°. Thus, ZN = 180° - 120° = 60°. Also, since KP || NM, ZKPM and ZM are alternate interior angles. However, we don't have enough information to find ZM directly. Assuming the line passing through K and P is a transversal intersecting parallel lines KP and NM, and the line passing through N and M is another transversal, we can deduce that ZN = 60°. Without further information or clarification on the geometric relationships, ZM cannot be determined.