Mathematics

In the diagram above, O is the center of the circle PQRS and ∠QPS =…

In the diagram above, O is the center of the circle PQRS and ∠QPS = 36°. Find ∠QOS

  • A.
    36o
  • B.
    72o
  • C.
    108o
  • D.
    144o
  • E.
    288o
Correct Answer: Option B
Explanation

< QOS = 2 < QPS (angle subtended at the centre)

(therefore) < QOS = 2 x 36° = 72°