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In the diagram, \(\overline{MN}\)//\(\overline{PQ}\), < MNP = 2x, and < NPQ = (3x - 50)°....

Mathematics
WAEC 2020

In the diagram, \(\overline{MN}\)//\(\overline{PQ}\), < MNP = 2x, and < NPQ = (3x - 50)°. Find the value of < NPQ 

  • A. 200\(^o\)
  • B. 100\(^o\)
  • C. 120\(^o\)
  • D. 90\(^o\)
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Correct Answer: Option B
Explanation

 

2x = 3x - 50 alternate angle 

50\(^o\) = 3x - 2x 

50\(^o\) = x 

< NPQ = (3x - 50)\(^o\) 

= 3(50)\(^o\) - 50 

= 150 - 50 = 100\(^o\) 


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