Bubs Group Title complete the two-column proof. Given: angle2 congruent to angle4, m angle2=110 degrees. Prove: m angle3=70 degrees one year ago one year ago

1. Bubs

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2. allibear2012

1 sec @Reppinthe80

3. mathstudent55

Where's the proof to be completed?

4. Bubs

m∠2 = m∠4 Definition of congruent angles m∠4 = 110º b. ________ ∠3 and ∠4 are a linear pair Definition of a linear pair (shown in diagram) ∠3 and ∠4 are supplementary Linear Pair postulate m∠3 + m∠4 = 180º c. _______ m∠3 = 70º d. ________

5. mathstudent55

I saw this problem yesterday.

6. Bubs

I know I never got help with it.

7. Bubs

You asked for the proof to be completed and I put it up.

8. mathstudent55

Ok, here goes.

9. mathstudent55

Is the second statement realy "m<4 = 110" or is it "m<2 = 110" ?

10. Bubs

the first statement is the given

11. Bubs

so the second statement is m angle 2=110 degrees

12. Bubs

sorry so slow for reply my laptop freezes on the site

13. mathstudent55

Ok, then write for b. Given

14. mathstudent55

c. Definition of supplementary angles.

15. mathstudent55

d. subtraction property of equality

16. mathstudent55

I think there is a step missing in this proof.

17. Bubs

Are you sure b. is given can you explain why it would be

18. Bubs

The top on is the given. Where I asked the question at the top of this page.

19. mathstudent55

I asked before, is statement 2 written correctly "m<4 = 110" That's what you have in your post. Did you copy it correctly?

20. mathstudent55

In the problem's given it states "m<2 = 110". I don't see that anywhere in the proof. That's why I say there's a step missing in this proof.

21. mathstudent55

You need to state m<2 = 110 before you can state m<4 = 110

22. mathstudent55

I see now, you left the given completely out of your posting.

23. mathstudent55

Let's say that before the first statement you wrote there is a line that states: Statements Reasons <2 is congr to <4; m<2 = 110 Given Then, write for reason b. Substitution

24. mathstudent55

b. can also be: Transitive property of equality. Either one is correct. Once again, for b. you have two choices, both being correct. You can write "Transitive property of equality", or "Substitution"

25. Bubs

ok

26. mathstudent55

Then c. is "Definition of supplementary angles" and d. is "Subtraction property of equality"

27. Bubs

thank you very much.

28. mathstudent55

wlcm