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Thursday, 14 May 2026
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In the diagram, PR is a diameter of the circle RSP, RP is produced to T and TS is a ...

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
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  • A 24\(^o\)
  • B 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\(^o\)

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