WAEC Mathematics 1995 Question 34

Question 34

Triangles and Quadrilaterals

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

Diagram for this question
  1. A.7.5°
  2. B.15°
  3. C.22.5°
  4. D.30°
  5. E.38.6°
Show the answer and explanation

Answer: D (30°)

Explanation

Angles at a point add up to 360°: 4x + 3x + 2x + 90° = 360°, so 9x = 270° and x = 30°.