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Statement: If two lines cut by a transversal are parallel, then the interior angles on the same side of the transversal are supplementary.

What is the converse of the statement?

Answer :

Final answer:

The converse of the statement is explained with an example.


Explanation:

The converse of the statement is: If interior angles on the same side of a transversal are supplementary, then the lines cut by the transversal are parallel.

For example, consider two lines intersected by a transversal and the interior angles on the same side of the transversal add up to 180 degrees. In this case, the converse states that the two lines must be parallel.

However, it is important to note that the converse of a statement is not always true. In this case, the converse statement is true, but it is not always the case for other statements.


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