In the diagram, PQ is parallel to RS, ∠QFG = 105° and ∠FEG = 50°....

MATHEMATICS
WAEC 2019

In the diagram, PQ is parallel to RS, ∠QFG = 105° and ∠FEG = 50°. Find the value of n

  • A. 40°
  • B. 55°
  • C. 75°
  • D. 130°

Correct Answer: C. 75°

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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