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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)

s = 72o

(80o - 72o = 180o)

a + b + c = 190o = 2b + c = 180o

2b + 108 = 180o

2b = 72o

b = 36o

Next
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WAEC offline past questions - with all answers and explanations in one app - Download for free
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995