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.
    35o
  • B.
    70o
  • C.
    100o
  • D.
    125o
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°

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