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 

  • 200\(^o\)
  • 100\(^o\) checkmark
  • 120\(^o\)
  • 90\(^o\)

The correct answer is: 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\(^o\) 

Previous Question Next Question

Leave A Comment