121k views
2 votes
From any one vertex of a 4-sided polygon (a quadrilateral), 1 diagonal can be drawn. From any one vertex of a 5-sided polygon (a pentagon), 2 diagonals can be drawn. From any one vertex of a 6-sided polygon (a hexagon), 3 diagonals can be drawn. From any one vertex of a 7-sided polygon (a heptagon), 4 diagonals can be drawn. The number of diagonals that can be drawn from any one vertex of a 20-sided polygon (a icosagon) is _____.

1 Answer

9 votes

Answer:

17

Explanation:

If in a 7 sided polygon 4 diagonals can be drawn then as you increase the number of sides you increase the number of diagonals

8 sides

5 diagonals and so on

User Paul N
by
7.3k points