## sharon_penn 3 years ago State the missing reasons in this flow proof.

1. sharon_penn

chart

2. sharon_penn

a-e

3. sharon_penn

any one on?

4. sharon_penn

ty

5. aaronq

wait do you mean the statements? like angleABC because the reasons are already there

6. sharon_penn

not sure thats why I'm confused

7. aaronq

I'm don't know what they're asking for :S sorry

8. sharon_penn

k

9. nincompoop

is this you the one needed help for?

10. sharon_penn

yes

11. sharon_penn

got it thanks

12. nincompoop

A)∠5 is an acute angle (40º) B) ∠2 is an obtuse angle (140º) C) ∠2 + ∠5 = 180° forms a supplementary angle. therefore, forms a straight line D) If a transversal intersects two parallel lines, then the interior angles on the same side of the transversal are supplementary. E) If a transversal intersects two lines and the interior angles on the same side of the transversal are supplementary, then the lines are parallel.

13. bahrom7893

Not good at this, never learned it.

14. nincompoop

this is a little confusing as I compose it, but I am sure it somewhat makes sense: ∠2 is congruent to ∠1 since ∠2 and ∠5 forms a straight line or a supplementary angles (180º) then ∠4 must be congruent to ∠1 and since ∠1 is congruent to ∠2 then ∠1 and ∠5 must also be supplementary angles, which proves that line a and b are parallel

15. ganeshie8

a proof starts with whats 'Given' so we can simply put the reason 'Given' for a and b.

16. ganeshie8

similarly we wil be good if we just put fill the blanks c,d, and e wid approproate reasons i guess

17. nincompoop

rephrasing: A) given ∠5 in line b is an acute angle (40º) B) another given ∠2 in line a is an obtuse angle (140º) you are right about filling out the blanks, but I am not sure if the sentences D and E are even appropriate to state

18. nincompoop

thanks for the guidance, @ganeshie8

19. ganeshie8

:) c, your reason is good : 'supplementary angles add up to 180' d, we can simply fill wid : ' by Definition of same-side interior angles' e, we can fill wid : 'by Converse of same-side interior angles theorem'