In the diagram, PQRS is a circle with O as centre and PQ||RT. If RTS = 32^\circ. Find PSQ
Attached Figure / Diagram
A
32o
B
45o
C
58o
D
90o
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
< PSO = \(\frac{1}{2}\) < SOQ = \(\frac{1}{2}\)(180) = 90^\circ
< RTS = < PQS = 32^\circ (Alternative angle)
< PSQ = 90 - < PSQ = 90^\circ - 32^\circ
= 58^\circ
Source: Myschool Past Questions Archive (Record #32994)