In the diagram, \(\overline{MN}\)//\(\overline{PQ}\), < MNP = 2x, and < NPQ = (3x - 50)°. Find the value of < NPQ
Attached Figure / Diagram
A
200\(^o\)
B
100\(^o\)
C
120\(^o\)
D
90\(^o\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
2x = 3x - 50 alternate angle
50\(^o\) = 3x - 2x
50\(^o\) = x
< NPQ = (3x - 50)\(^o\)
= 3(50)\(^o\) - 50
= 150 - 50 = 100\(^o\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #58325)