If the measure of two angles have a sum of 180 degrees then the angles are supplementary. M

Question

If the measure of two angles have a sum of 180 degrees then the angles are supplementary.  M<A+m<B= 180 degrees.  <A and <B are supplementary.

I need to figure out if this is valid or invalid.

A	Valid, Law of Syllogism
B	Valid, Law of Detachment
C	Valid, but it doesn’t use either law
D	Invalid

I don't just want the answer,I want to figure out how to get the answer. I have three more others like this so learning how this works would really help me with the others.

anonymous · Answer

From Geometry, we know that if the sum of the measures of 2 angles (A and B) is 180, then <A and <B are supplementary. Law of Detachment says in p implies q, if p is true, then q is true..since you are given that m<A+m<B=180 as p then A and B as supplementary (as q) must be true.

lifeisadangerousgame · Answer

Well I know it's Valid, but I'm not sure which law I would've used to figure out that it was valid.

anonymous · Answer

laaw of detachment

lifeisadangerousgame · Answer

What's the best way of figuring out which law it is and the meanings of those laws? Also, could you help me with the other three?

anonymous · Answer

it states that in a conditional statement, if the premise is true,then the conclusion is true..and since you are given a true premise then the conclusion must be true...law of detachment...to say it in short..law of detachment involves one conditional statement.while law of syllogism involves two

lifeisadangerousgame · Answer

Ohh, okay, that makes sense. Thank you :D

anonymous · Answer

Here is an example for both laws

Law of detachment
if it is sunny,i go to school.
it is sunny
the i goto school

Law of syllogism
if it is sunny, i go to school.
if i go to school, i meet my bestfriend
it is sunny
so i meet my bestfriend

lifeisadangerousgame · Answer

So it's like

Law of Detachment
If it rains, I will stay inside.
It is raining,
Then I will stay inside.


Law of Syllogism
If it rains, I will stay inside.
If I stay inside, I will play Monopoly.
If it rains, I will play Monopoly.

Is that right?

lifeisadangerousgame · Answer

I've done the other three if you could check them, that'd be great :D

anonymous · Answer

that's it    : )

lifeisadangerousgame · Answer

Could you check the other three I have?

lifeisadangerousgame · Answer

Actually, could you check the whole file?

anonymous · Answer

where is it?

lifeisadangerousgame · Answer

That should be it, all the answers should have a yellow highlight. :)

lifeisadangerousgame · Answer

I have to go atm, but I should be back tomorrow and I'll check back on openstudy so don't hesitate to send me a message or reply or anything! Thank you so much! I appreciate it :D