Answer:
The number of non overlapping triangle in a polygon is 2 less than the number of sides.
Explanation:
Consider the provided information.
The sum of all interior angle of the polygon with n sides is 180(n-2).
The above formula is related with the number of non overlapping triangles in a polygon.
As we know that the sum of all interior angle of a triangle is 180°. That means 180 in the above formula is represents the sum of interior angle of triangle.
The (n-2) represents the number of non overlapping triangles in a polygon with n side.
Thus, we can say that the number of non overlapping triangle in a polygon is with n side is n-2.
In words the rule is: The number of non overlapping triangle in a polygon is 2 less than the number of sides.