Question

Give a rule in words to find the number of nonoverlapping triangles in a polygon

Answer 1

Answer:

The number of non overlapping triangle in a polygon is 2 less than the number of sides.

Step-by-step 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.

Answer 2

The triangle of a polygon are the triangles created by drawing line segments from one vertex of a polygon to all the others.