In the diagram, PR 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
-
A.
24(^o) -
A.
42(^o) -
C.
48(^o) -
D.
66(^o)
Correct Answer: Option A
Explanation
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)