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In the diagram above, RST is a tangent to circle VSU center O ∠SVU =...

Mathematics
WAEC 1999

In the diagram above, RST is a tangent to circle VSU center O ∠SVU = 50° and UV is a diameter. Calculate ∠RSV.

  • A. 90°
  • B. 50°
  • C. 45°
  • D. 40°
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Correct Answer: Option D
Explanation

< VSU = 90° (angle in a semi-circle)

\(\therefore\) < SUV = 180° - 90° - 50°

= 40°

< RSV = 40° (angle which chord makes tangent = angle in alternate segment)

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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free