In the diagram above, RST is a tangent to circle VSU center O ∠SVU = 50^\circ and UV is a diameter. Calculate ∠RSV.
A
90°
B
50°
C
45°
D
40°
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
< VSU = 90^\circ (angle in a semi-circle)
\(\therefore\) < SUV = 180^\circ - 90^\circ - 50^\circ
= 40^\circ
< RSV = 40^\circ (angle which chord makes tangent = angle in alternate segment)
Source: Myschool Past Questions Archive (Record #54932)