JAMB Mathematics 1987 Question 24

Question 24

Angles and Polygons

An (n − 2)2-sided figure has n diagonals. Find the number n of diagonals for a 25-sided figure.

  1. A.7
  2. B.8
  3. C.9
  4. D.10
Show the answer and explanation

Answer: A (7)

Explanation

Set (n − 2)² = 25, so n − 2 = 5 and n = 7.