In the diagram O is the center of the circle, ∠SOR = 64^\circ and ∠PSO = 36^\circ. Calculate ∠PQR
Attached Figure / Diagram
A
100o
B
96o
C
94o
D
86o
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
< OSR = < ORS = \(\frac{180^\circ - 64^\circ}{2}\) = 58^\circ
< PSR = 36^\circ + 58^\circ = 94^\circ
< PSR + < PQR = 180^\circ
94^\circ + < PQR = 180^\circ \(\implies\) < PQR = 180^\circ - 94^\circ = 86^\circ
Source: Myschool Past Questions Archive (Record #26565)