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In the diagram above, AO is perpendicular to OB. Find x.

Mathematics
WAEC 2025

In the diagram above, AO is perpendicular to OB. Find x.

  • A. 15°
  • B. 22.5°
  • C. 7.5°
  • D. 30°
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Correct Answer: Option D
Explanation

Since OA is ⊥ to OB

 ∴ ∠ AOB = 90º.

Hence, 4x + 3x + 2x + 90º = 360º (sum of angles at a point) 9x + 90º = 360º

9x = 270º;

x = 30º

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