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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