Question

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.

-What do they mean when they ask me to write a valid conclusion?

Answer 1

The law of detachment, better known as Modus Ponens, can be expressed as p=>q, or if p is true, then q must be true.

For example,
p=it does not rain
q=I will go outside
so
If I say
If <i>it does not rain</i>, then <i>I will go outside</i>.
And if today it does not rain, a valid conclusion will be <i> I will go outside</i>.

If it does not rain today, I do not have a valid conclusion.

See if you can draw a valid conclusion from the given statements 1 and 2.