In the diagram, PQ is parallel to RS, < QFG = 105\(^o\) and < FEG = 50\(^o\). Find the value of n
Attached Figure / Diagram
A
40\(^o\)
B
55\(^o\)
C
75\(^o\)
D
130\(^o\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
E\(G\)R = 50\(^o\) (Alternative angles)
n + 55\(^o\) + 50\(^o\) = 180\(^o\) (Sum of angles on a straight line)
n = 180\(^o\) - 105\(^o\)
n = 75\(^o\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #57384)