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In the diagram, PQ is parallel to RS, < QFG = 105\(^o\) and < FEG...

Mathematics
WAEC 2019

In the diagram, PQ is parallel to RS, < QFG = 105\(^o\) and < FEG = 50\(^o\). Find the value of n

  • A. 40\(^o\)
  • B. 55\(^o\)
  • C. 75\(^o\)
  • D. 130\(^o\)
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Correct Answer: Option C
Explanation

E\(G\)R = 50\(^o\)  (Alternative angles) 

n + 55\(^o\) + 50\(^o\) = 180\(^o\)  (Sum of angles on a straight line) 

n = 180\(^o\) - 105\(^o\)

n = 75\(^o\)


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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
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
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
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