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In the figure, PS = SR, and Rx is a tangent to the circle at...

Mathematics
JAMB 1980

In the figure, PS = SR, and Rx is a tangent to the circle at R. < QRX is equal to 72º.  Find angle SPR

  • A. 20o
  • B. 36o
  • C. 72o
  • D. 30o
  • E. 15o
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Correct Answer: Option B
Explanation

<XRQ = <RSQ (Alternate segment)

<SRQ = 72º

<PSR = 180º - 72º = 108º

a + b + c = 180o = 2b + c = 180o

2b + 108 = 180o

2b = 72o

b = 36o

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