In the diagram, RPS is a diameter of the circle RSP, RP is produced to T and TS is a tangent to the circle at S. If < PRS = 24\(^o\), calculate the value of < STR
Attached Figure / Diagram
A
24\(^o\)
B
42\(^o\)
C
48\(^o\)
D
66\(^o\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
RSP = 90 < substance in semi a circle
RPS = 180 - (90 + 24)
= 180 - (114)
= 66
TPS = 180 - 66
= 114
RST = 24
< STR = 180 - (114 + 24)
= 180 - 138
= 42\(^o\)
Source: Myschool Past Questions Archive (Record #50190)