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Given the following statement. "If two angles form a linear pair, then they are supplementary",

which of the following is the converse of the statement?
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Given the following statement. "If two angles form a linear pair, then they are-example-1

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Answer:

The converse of the statement is: If two angles are supplementary, then they form a linear pair.

Explanation:

The statement is a representation of the following compound proposition:
p \rightarrow q, where:


p = Two angles form a linear pair


q = They are supplementary

The converse of this implication is represented by the following inferential formula:


q \rightarrow p

Therefore, the converse of the statement is:

If two angles are supplementary, then they form a linear pair.

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