In the diagram POQ is the diameter of the circl... - WAEC Mathematics 2004 Question
In the diagram, POQ is the diameter of the circle centre O. Calculate ∠QRS
A
35o
B
70o
C
100o
D
125o
correct option: a
∠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°
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