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°
waec 1999mathematics

The correct answer is D. 40°

< 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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