Question
Download Solution PDFIn the figure given below, PQ is the diameter of the circle with centre O. If ∠QOR = 100° then the measure of ∠PSR is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
PQ is a diameter.
∠QOR = 100°
Concept used:
the angle subtended by the chord at the centre of the circle is twice
the angle subtended at any point on the circle's circumference.
Calculation:
⇒ ∠QOR + ∠ROP = 180°
⇒ ∠ROP = 180 - 100 = 80°
∠ROP = 2 × ∠PSR
⇒ ∠PSR = 80/2 = 40°
∴ The correct answer is 40°.
Last updated on Jul 19, 2025
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