Which should equal 92° to prove that r ∥ s?

((''w'' is the answer))

Angles w and z should equal 92° to prove that r ║ s.

This is because angle w corresponds to the given angle, while angle z is vertically opposite the given angle. Corresponding angles and vertically opposite angles are always equal, and therefore we have a parallel set of lines cut by a transversal when these angles are equal.

Hope this helps.