A 5-sided polygon is called a pentagon. You can draw up to 5 diagonals in a pentagon.
It works out that a polygon with 1175 diagonals has 50 sides
1/2*(142-42) = 77 diagonals
There are: 0.5*(682-(3*68)) = 2210 diagonals
17
38 diagonals
In a 54-sided polygon, 53 possible diagonals can be drawn from one vertex to another. These diagonals will not intersect. Therefore, the interior will be divided into 54 regions by the 53 diagonals plus the two sides of the original polygon that adjoin the vertex from which the diagonals are drawn.
In a polygon with n sides, the number of diagonals that can be drawn from one vertex is given by the formula (n-3). Therefore, in a 35-sided polygon, you can draw (35-3) = 32 diagonals from one vertex.
It is 18 diagonals
4...
4
A 5-sided polygon is called a pentagon. You can draw up to 5 diagonals in a pentagon.
It works out that a polygon with 1175 diagonals has 50 sides
1/2*(142-42) = 77 diagonals
5
It is a 42 sided polygon and has: 0.5*(422-(3*42)) = 819 diagonals
There are: 0.5*(682-(3*68)) = 2210 diagonals