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WAEC Mathematics 2002 Question 6

Question 6

Triangles and Quadrilaterals

Find the value of x in the diagram

Diagram for this question
  1. A.31°
  2. B.35°
  3. C.37°
  4. D.41°
Show the answer and explanation

Answer: B (35°)

Explanation

The marked angles are the exterior angles of a hexagon, which add to 360°: (2x + 5) + 2x + (x − 20) + x + (3x + 10) + (x + 15) = 10x + 10 = 360, so x = 35°.