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WAEC Mathematics 2007 Question 22

Question 22

Triangles and Quadrilaterals

From the diagram, find the value of x.

Diagram for this question
  1. A.40
  2. B.30
  3. C.25
  4. D.20
Show the answer and explanation

Answer: D (20)

Explanation

The pentagon's angles add to 540°. Its interior angles are (180 − 5x)°, 120°, 130°, 90° and (180 − 3x)°: 700 − 8x = 540, so x = 20.