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“if two angles are a linear pair then they are supplementary angles” is it possible to write a biconditional statement explain why or why not?

User John X
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Answer:

Step-by-step explanation:Yes, it is possible to write a biconditional statement for the given statement: "If two angles are a linear pair, then they are supplementary angles."

A biconditional statement is formed by combining two conditional statements with the words "if and only if". In this case, we can write the biconditional statement as:

"Two angles are a linear pair if and only if they are supplementary angles."

To understand this statement, let's break it down into two conditional statements:

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

This is the original conditional statement given in the question. It states that if two angles form a linear pair, then they are also supplementary angles.

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

This is the converse of the original conditional statement. It states that if two angles are supplementary, then they form a linear pair.

By combining both of these statements, we form the biconditional statement. It means that the original statement and its converse are both true. In other words, two angles form a linear pair if and only if they are supplementary angles.

User VIBrunazo
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