The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360 degrees , then the figure is a polygon.” What is the inverse of the original conditional statement?

The converse switches the hypothesis and conclusion of the original statement. So the original is “If a figure is a polygon, then the sum of its exterior angles is 360 degrees.” The inverse negates both parts: “If a figure is not a polygon, then the sum of its exterior angles is not 360 degrees,” which is choice A.

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