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In the figure, O is the centre of circle PQRS and PS//RT. If PRT = 135,…

In the figure, O is the centre of circle PQRS and PS//RT. If PRT = 135, then PSO is

A.
67(frac{1}{2})^o
B.
22(frac{1}{2})^o
C.
33(frac{1}{2})^o
D.
45^o
E.
90^o

Correct Answer: Option D

Explanation

< R = 180o – 45o (sum of angles on a straight line)
< R = < P = 45o (corresponding angles)
< PSO = < P = 45o ((bigtriangleup)PSO is a right angle)