In the figure, O is the centre of circle PQRS and PS//RT. If PRT = 135, then PSO is
Attached Figure / Diagram
A
67\(\frac{1}{2}\)o
B
22\(\frac{1}{2}\)o
C
33\(\frac{1}{2}\)o
D
45o
E
90o
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
< R = 180o - 45o (sum of angles on a straight line)
< R = < P = 45o (corresponding angles)
< PSO = < P = 45o (\(\bigtriangleup\)PSO is a right angle)
Source: Myschool Past Questions Archive (Record #32784)