Question
Download Solution PDFIn the given figure, PQ is a chord passing through the centre 'O' of the circle. Calculate ∠PQS.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
The sum of the opposite angles of the cyclic quadrilateral is 180°.
∠PSQ = 90° because the angle is in a semi-circle.
Calculation:
∠SPQ = 180° - 110° = 70° (The sum of the opposite angles of the cyclic quadrilateral is 180°)
Now, In triangle PQS.
∠PSQ = 90° (Angle in semi-circle)
∠PQS = 180° - ( ∠PSQ +∠QPS)
⇒ 180° - (90° + 70°) = 20°
∴ The correct option is 3
Last updated on Jul 15, 2025
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