Answer:
Option A ∠RWQ, ∠WPS and ∠PWU
Step-by-step explanation:
we know that
Two angles are supplementary if their sum is equal to 180 degrees
Part 1)
∠OPW+∠WPS=180° ------> by supplementary angles
we have
∠OPW=110°
substitute
110°+∠WPS=180°
∠WPS=180°-110°=70°
Part 2) we know that
∠RWQ+(50°+60°)=180° ------> form a linear pair
∠RWQ=180°-(50°+60°)=70°
so
∠OPW+∠RWQ=180° -----> by supplementary angles
Part 3) we know that
∠PWU=∠RWQ -------> by vertical angles
so
∠OPW+∠PWU=180° -----> by supplementary angles
therefore
The angles that are supplements to angle ∠OPW are
∠WPS, ∠RWQ and ∠PWU
