Home » In the diagram, POQ is the diameter of the circle centre O. Calculate ∠QRS

In the diagram, POQ is the diameter of the circle centre O. Calculate ∠QRS

In the diagram, POQ is the diameter of the circle centre O. Calculate ∠QRS

A.
35^o
B.
70^o
C.
100^o
D.
125^o

Correct Answer: Option A

Explanation

∠PSQ = 90° (angle in a semi-circle)
(when SR is joined to SP)
∠SPQ = 180 – (90+35) = 180 – 125 = 55°
∠QRS + ∠SPQ = 180° (opposite angles in a cyclic quad is supplementary)
∠QRS = 180° – 55°
= 125°