X + y = 25
y = 25 - x
where the first polygon's sides are greater than the second polygon.
The representation for each side of polygon:
first polygon x
second polygon 25-x
total number of sides of the two polygons = 25
If first polygon (x) is 16-sided,
then the second polygon (25-16) is 9-sided.
16 + 9 = 25
If first polygon is 14-sided,
then the second polygon (25-14) is 11-sided.
14 + 11 = 25
The given problem requires another condition so we can solve for the specific value of x.
Example 1: The total number of sides of the two polygons is 25. The sum of their diagonals is 131.
Example 2: The total number of sides of the two polygons is 25. One polygon has 2 more than twice the numbers of sides of the other polygon.