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

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°
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)