Question

What is the converse of the following statement?

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

Answer 1

The converse of the given statement is: If the polygon is a triangle, then the sum of the interior angles of the polygon is 180°.

Step-by-step explanation:

The converse of the given statement is: If the polygon is a triangle, then the sum of the interior angles of the polygon is 180°. The converse is obtained by interchanging the hypothesis and conclusion of the original statement.

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