Use the Law of Detachment to write a valid conclusion for the given information.
1.If two angles are supplementary, then their measures have a sum of 180.
2.Angle X and Angle Y are supplementary.
Would the conclusion be this? Thanks
-The sum of X and Y is 180.
That is what I would conlcude.
Yes, that is the correct conclusion using the Law of Detachment. The Law of Detachment states that if a conditional statement is true and the hypothesis is true, then the conclusion is true.
In this case, the conditional statement is "If two angles are supplementary, then their measures have a sum of 180." The hypothesis is that "Angle X and Angle Y are supplementary."
By applying the Law of Detachment, we can conclude that the sum of Angle X and Angle Y is indeed 180.