Question

what is the inverse of the following conditional statement? \if the sum of the interior angles of a polygon is 180°, then the polygon is a triangle\ if the polygon is a triangle, then the sum of the interior angles of the polygon is 180° if the polygon is not a triangle, then the sum of interior angles of the polygon is not 180° if the sum of the interior angles of a polygon is not 180°, then the polygon is not a triangle if the sum of the interior angles of a polygon is 180°, then the triangle is a polygon

Explanation:

The inverse of a conditional statement "If p, then q" is "If not p, then not q". Here, p is "the sum of the interior angles of a polygon is 180°" and q is "the polygon is a triangle". So the inverse is "If the sum of the interior angles of a polygon is not 180°, then the polygon is not a triangle".

Answer:

If the sum of the interior angles of a polygon is not 180°, then the polygon is not a triangle