Find the value of m in the diagram below.
MATHEMATICS
WAEC 2023
Find the value of m in the diagram below.
- A. \(40^0\)
- B. \(50^0\)
- C. \(130^0\)
- D. \(140^0\)
Correct Answer: C. \(130^0\)
Explanation
∠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°
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