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WAEC Mathematics 1991 (August) Question 43

Question 43

Angles and Polygons

The angles of a pentagon are x°, 2x°, (x + 60)°, (x + 10)°, (x − 10)°. Find the value of x.

  1. A.40
  2. B.60
  3. C.75
  4. D.80
  5. E.90
Show the answer and explanation

Answer: D (80)

Explanation

The angles of a pentagon add up to 540°: 6x + 60 = 540, so x = 80.