Question

At is the converse of the following statement?

the sum of interior angles of a polygon is more than 180°, then the polygon is not a triangle."
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If the sum of the interior angles of a polygon is not more than 180°, then the polygon is a triangle.
If the polygon is a triangle, then the sum of the interior angles of the polygon is not more than 180°.
If the sum of the interior angles of a polygon is equal to 180°, then the polygon is a triangle.
If the polygon is not a triangle, then the sum of the interior angles of the polygon is more than 180°.

Answer 1

The converse of the statement is: If the sum of the interior angles of a polygon is not more than 180°, then the polygon is a triangle.

Step-by-step explanation:

The converse of the statement is: If the sum of the interior angles of a polygon is not more than 180°, then the polygon is a triangle.

This means that if the sum of the interior angles of a polygon is less than or equal to 180°, then the polygon must be a triangle. For example, an equilateral triangle has interior angles that sum up to exactly 180°.

Conversely, if the sum of the interior angles of a polygon is greater than 180°, then the polygon cannot be a triangle.

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