Posted by **Shadow** on Saturday, October 16, 2010 at 3:53pm.

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?

- Geometry -
**MathMate**, Sunday, October 17, 2010 at 9:28am
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 *it does not rain*, then *I will go outside*.

And if today it does not rain, a valid conclusion will be * I will go outside*.

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.

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