Question

Given : 2 and 5 are supplementary
Prove l || m
Statements Reasons
1. _______________ 1. _________
2. 3 = 2 , 2 _________________
3. 3 and 5 are supplementary , 3. __________
4.___________ , 4. __________

Answer 1

@Faith_Rochelle

Did you write this or did it come with the problem?

Statements Reasons 1. _______________ 1. _________ 2. 3 = 2 , 2 _________________ 3. 3 and 5 are supplementary , 3. __________ 4.___________ , 4. __________

Answer 2

@Directrix it came with the problem. The first number 1 should be the statements and the second one should be the reason , same with number 2 , 3 and 4 .

Answer 3

Is this --> 3 = 2

supposed to be <3 = <2 or m<3 = m<2 or <3≅<2 ?

Look at your text and let me know.

Answer 4

It is supposed to be <3 is congruent to <2 , like the last choice you gave me.

Answer 5

@Directrix

Answer 6

If I were writing this proof from scratch, I would have more steps to make the logic clearer.

Here we go with what you were given:


1. < 2 and <5 are supplementary 1. Given

2. <3≅<2 2. Vertical angles are congruent.

3. < 3 and <5 are supplementary 3. Substitution (of <3 for <2)

4. l || m 4. See below

4. If two lines are cut by a transversal so that same-side interior angles are supplementary, then the lines are parallel.


@Faith_Rochelle Look at this and let me know what you think. Okay?

Answer 7

I think that you are correct and that that helped a lot . Thank you !!

Answer 8

You're welcome.