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\(^o\)
  • B 42\(^o\)
  • C 48\(^o\)
  • D 66\(^o\)
waec 2017mathematics

The correct answer is A. 24\(^o\)

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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