Question on: WAEC Mathematics - 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\(^o\), calculate the value of < STR

A
24\(^o\)
B
A. 42\(^o\)
C
48\(^o\)
D
66\(^o\)
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Correct Option: A

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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