Geometry Question: Law of Detachment?

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HERE"S THE QUESTION:

Use the Law of Detachment to draw a conclusion.
"If the measures of two angles have a sum of 90 degrees, then the angles are complementary.
Measure of angle A + measure of angle E = 90."
 
The answer is:

If the angles are complementary, then the measures of two angles have a sum of 90 degrees.

The reason I have formulated this answer is because with the law of detachment p implies q. If you were to break this sentence into two fragments it would be...

P- The angles are complementary
Q- The measures of two angles have a sum of 90 degrees.

With the law of detachment, the phrase has to be correct so when the P and Q are put together there can't be any counter examples.

Hope this helped and best of luck.
 
I've never heard of the Law of Detachment, but I think I know what you are asking.

It is a simple syllogism. You start with a statement of the form:

If p, then q.

You are then given:

p

The logical conclusion is:

q

Therefore, "angle A and angle E are complementary."
 
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