## anonymous one year ago This is another question, I think I'm getting the hang of this. Picture is attached below

1. anonymous

|dw:1443727429177:dw|

2. anonymous

It is asking me to find m and n. I have the answer for it but not all the steps for it. The answer should m=60 and n=12

3. anonymous

|dw:1443727580378:dw|

4. freckles

|dw:1443727702263:dw|

5. anonymous

I think this is what I need to do 6m-120, but right after that I get confused, like how am I supposed to find m and n, would it be 6m-120=180

6. anonymous

Keeping in mind that the angle of a straight line always equals 180 so i'm a little confused. Is the m-120 for just that one angle? Or for both?

7. freckles

|did you look at that one site I showed you previously on your previous post? the two angles with 2m and 4m-120 has measurements are congruent since they are corresponding angles

8. freckles

which means 2m=4m-120

9. anonymous

Yes I did, but it only talked about supplementary angles. oh okay, wait so 2m=4m-120

10. freckles

it also talked about congruent angles

11. freckles

and it talked about three kinds of congruent angles

12. freckles

the angles I mentioned earlier were corresponding angles

13. freckles

now |dw:1443728005251:dw| the sum of these circled angles is 180 deg

14. anonymous

Oh okay, so I got 60. But now to get 5n, aren't vertical angles equal to 180, so 5n+4m=120 ? So 5n+ 4(60)-120=180

15. freckles

4m-120+5n=180

16. freckles

yes

17. freckles

vertical angles equal 180

18. freckles

so you got m is 60 right?

19. freckles

replace m with 60 then 4(60)-120+5n=180 and now solve for n

20. anonymous

Yes. So n=12

21. freckles

right since you have 240-120+5n=180 120+5n=180 5n=60 n=12 great

22. anonymous

Thank you very much for your help!

23. freckles

np on that site they mentioned all the angles that are congruent when you have some picture like this: |dw:1443728172278:dw|

24. freckles

congruent means they have the same degree measurement

25. freckles

hey also one more important thing

26. anonymous

yes? Sorry I was looking at other things in that one site you gave me

27. freckles

I confused myself earlier

28. freckles

and I guess I forgot what vertical angles were

29. freckles

but vertical angles are the same not supplementary

30. anonymous

Yeah sorry I got confused, but yes.

31. freckles

so hmm... this means n will be different

32. freckles

|dw:1443728561704:dw|

33. freckles

\[2m=4m-120 \\ -2m=-120 \\ m=60 \\ 4m-120=5n \\ 4(60)-120=5n \\ 240-120=5n \\ 120=5n \\ n=24\]

34. anonymous

well it wouldn't be because they are still the same, I just said that it would be 180 but what I meant is that vertical angles are the same :)

35. freckles

but you said n is 12... right? so let me ask ... |dw:1443728686588:dw|

36. freckles

|dw:1443728916796:dw|