If two angles are supplementary then they add to 180...Whats the converse inverse and contrapositive

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27-01-2021
Mathematics

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If two angles are supplementary then they add to 180...Whats the converse inverse and contrapositive

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pstnonsonjoku pstnonsonjoku · Answer 1 · 2021-01-30T04:53:25+01:00

Answer:

Converse: If two angles are supplementary then they add up to 180 degrees.

Inverse: If two angles are not supplementary then they do not add up to 180 degrees.

Contrapositive: If angles do not add up to 180 degrees, then the two angles are not supplementary.

Step-by-step explanation:

In logic the converse of an implication is obtained by reversing its two constituent statements. That is, for P → Q, then the converse is Q → P.

The inverse of a conditional statement involves the negation of both the hypothesis and conclusion. That is, for p → q, the Inverse is ~p → ~q note that ~ stands for NOT in the negation of the statement.

For a contrapositive of any conditional statement, we interchange the hypothesis and the conclusion of the inverse statement as shown in statement III in the answer above.