A) A) The inverse of the original statement is;
If two angles are not supplementary, then the angles are not Linear Pairs.
B) The converse of the original statement is;
If two angles form a linear pair, the angles are supplementary.
C) The contrapositive of the original statement is;
If two angles are not linear pairs, then the angles are not supplementary.
How to write the Inverse and contrapositive of a statement?
We are given the statement;
If two angles are supplementary, then the angles are Linear Pairs.
A) The inverse of the original statement is;
If two angles are not supplementary, then the angles are not Linear Pairs.
This is true because all linear pairs are supplementary.
B) The converse of the original statement is;
If two angles form a linear pair, the angles are supplementary.
This converse is true because Not all supplementary angle form a linear pair. But, all linear pairs are supplementary.
C) The contrapositive of the original statement is;
If two angles are not linear pairs, then the angles are not supplementary.
This contrapositive is false because Not all supplementary angle form a linear pair.
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