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In the figure, PQRS is a circle with ST||RQ. Find the value of x if...

Mathematics
JAMB 1999

In the figure, PQRS is a circle with ST||RQ. Find the value of x if PT = pS
  • A. 70o
  • B. 55o
  • C. 40o
  • D. 35o
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Correct Answer: Option B
Explanation
< PST = < RQT = x(corresponding angle)

< PST = < PTS = < PTS x (PS = PT0

< SRQ = < SPT = 180o (sum of < on straight line)

< SPT = 180o - 110o = 70o

in < SPT, < PST = PTS = < PSt = 180o

2x + 70 = 180o

2x = 180o - 70o = 110o

x = \(\frac{110^o}{2}\) = 55o

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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
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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 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
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709