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\(^o\)
Explication
2x = 3x - 50 alternate angle
50\(^o\) = 3x - 2x
50\(^o\) = x
< NPQ = (3x - 50)\(^o\)
= 3(50)\(^o\) - 50
= 150 - 50 = 100\(^o\)