Question
Download Solution PDFPRT is a tangent to a circle with centre O, at the point R on it. Diameter SQ of the circle is produced to meet the tangent at P and QR is jointed. If ∠QRP = 28°, then the measure of ∠SPR is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF∠QRP = 28°
As we know,
∠ORP = 90° [tangents at R]
⇒ ∠ORQ = ∠ORP – ∠QRP = 90° – 28° = 62°
⇒ ∠OQR = ∠ORQ = 62° [OQ = OR = radius]
As we know,
∠OQR = ∠ QRP + ∠QPR
⇒ 62 = 28 + ∠QPR
⇒ ∠QPR = 62 – 28 = 34
⇒ ∠SPR = ∠QPR = 34
Last updated on Jun 13, 2025
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