In the diagram, O is the centre of the circle. If SOQ is a diameter and o, what is the value of < PSQ
Attached Figure / Diagram
A
148o
B
104o
C
80o
D
52o
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
o (angle in the same segment of a circle are equal)
But o (angle in a semicircle)
also o (angles in a triangle = 180o)
o + 90o = 190o
o = 180o
PSQ = 180o - 128o
PSQ = 52o
Source: Myschool Past Questions Archive (Record #33037)