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Find the value of m in the diagram above.

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Mathematics WAEC 2023

 Find the value of m in the diagram above.

  • \(40^0\)
  • \(50^0\)
  • \(130^0\) checkmark
  • \(140^0\)

The correct answer is: C

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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