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WAEC - Mathematics (2020 - No. 29)

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

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

Forklaring

 

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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