Find the value of m in the diagram above.
Attached Figure / Diagram
A
\(40^0\)
B
\(50^0\)
C
\(130^0\)
D
\(140^0\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
∠EHI = ∠DEH = 40° (alternate angles are equal)
∠BEH = 90° (given)
∠BED = 90° - 40° = 50°
∠BEF = 180° - 50° = 130° (sum of angles on a straight line is 180o)
∠BEF = ∠ABE = 130° (alternate angles are equal)
∴ m = 130°
Source: WAEC / JAMB / NECO Classroom Archive (Record #69172)