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\(^o\)

The correct answer is C. 75\(^o\)

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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