In the diagram, O is the centre of the circle. If SOQ is a diameter and o, what is the value of
-
A.
148o -
B.
104o -
C.
80o -
D.
52o
Correct Answer: Option D
Explanation
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 = 190oo = 180o
PSQ = 180o – 128o
PSQ = 52o