To find :-
The value of ∠POS
Given :-
∠POQ = 52°
Solution :-
The ∠POQ + ∠POS lies on same line SOQ. So they are linear pair and linear pair angle forms sum of 180°.
∠POS + ∠POQ = 180° {linear pair}
∠POS + 52° = 180°
∠POS = 180° - 52°
∠POS = 128°
Result :-
The angle ∠POS is 128°.