Question 172385
b)since the sum of the exterior angles must equal 360...we have 360/25=14.4....therefore there is no such polygon since this is not a positive integer
:
d)the formula for diagonals is as follows:d= n/2 (n-3)
where d is the number of diagonals and n is the number of sides in the polygon
: the answer needs to be a positive integer
4860=n/2(n-3)
{{{4860=(n^2-3n)/2}}}
:
{{{9720=n^2-3n}}}
:
{{{n^2-3n-9720=0}}}
this does not produce a positive integer solution therefore this polygon does not exist
*[invoke quadratic "n", 1, -3, -9720]