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You discovered that if a pair of angles is a linear pair , then the angles are supplementary. Is the converse true? If so, explain why. If not, sketch a counterexample and explain why not.

User Antoineso
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Answer:

The converse is true

Explanation:

The converse of a statement is obtained by interchanging the conclusion for the hypothesis

The given statement is presented as follows;

If a pair of angles is linear, then the angles are supplementary

Therefore, the converse statement is;

If a pair of angles are supplementary, then the angles are a linear pair

A linear pair of angles angles are the adjacent angles formed by the intersection of two lines

Supplementary angles are two angles that sum up to 180° such that the angles sum is that of the angles forming a straight line

Therefore, the converse statement, 'If a pair of angles are supplementary, then the angles are a linear pair', is true

User Initialxy
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