In the diagram above, O is the center of the circle QOR is a diameter and ∠PSR is 37°. Find ∠PRQ
-
A.
37o -
B.
53o -
C.
65o -
D.
127o -
E.
147o
Correct Answer: Option B
Explanation
Construction: Join PQ.
Then < RSP = 37° = < RQP (angles on the same segment)
But < RPQ = 90° (angle in a semi-circle)
(therefore) < PRQ = 180° – (90° + 37°)
= 53°