In the diagram, PR is a diameter of the circle RSP, RP is produced to...

MATHEMATICS
WAEC 2017

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°, calculate the value of ∠ STR

  • A. 24°
  • B. 42°
  • C. 48°
  • D. 66°

Correct Answer: B. 42°

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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