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anonymous

  • one year ago

This is another question, I think I'm getting the hang of this. Picture is attached below

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  1. anonymous
    • one year ago
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    |dw:1443727429177:dw|

  2. anonymous
    • one year ago
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    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
    • one year ago
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    |dw:1443727580378:dw|

  4. freckles
    • one year ago
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    |dw:1443727702263:dw|

  5. anonymous
    • one year ago
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    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
    • one year ago
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    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
    • one year ago
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    |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
    • one year ago
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    which means 2m=4m-120

  9. anonymous
    • one year ago
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    Yes I did, but it only talked about supplementary angles. oh okay, wait so 2m=4m-120

  10. freckles
    • one year ago
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    it also talked about congruent angles

  11. freckles
    • one year ago
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    and it talked about three kinds of congruent angles

  12. freckles
    • one year ago
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    the angles I mentioned earlier were corresponding angles

  13. freckles
    • one year ago
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    now |dw:1443728005251:dw| the sum of these circled angles is 180 deg

  14. anonymous
    • one year ago
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    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
    • one year ago
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    4m-120+5n=180

  16. freckles
    • one year ago
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    yes

  17. freckles
    • one year ago
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    vertical angles equal 180

  18. freckles
    • one year ago
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    so you got m is 60 right?

  19. freckles
    • one year ago
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    replace m with 60 then 4(60)-120+5n=180 and now solve for n

  20. anonymous
    • one year ago
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    Yes. So n=12

  21. freckles
    • one year ago
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    right since you have 240-120+5n=180 120+5n=180 5n=60 n=12 great

  22. anonymous
    • one year ago
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    Thank you very much for your help!

  23. freckles
    • one year ago
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    np on that site they mentioned all the angles that are congruent when you have some picture like this: |dw:1443728172278:dw|

  24. freckles
    • one year ago
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    congruent means they have the same degree measurement

  25. freckles
    • one year ago
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    hey also one more important thing

  26. anonymous
    • one year ago
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    yes? Sorry I was looking at other things in that one site you gave me

  27. freckles
    • one year ago
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    I confused myself earlier

  28. freckles
    • one year ago
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    and I guess I forgot what vertical angles were

  29. freckles
    • one year ago
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    but vertical angles are the same not supplementary

  30. anonymous
    • one year ago
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    Yeah sorry I got confused, but yes.

  31. freckles
    • one year ago
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    so hmm... this means n will be different

  32. freckles
    • one year ago
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    |dw:1443728561704:dw|

  33. freckles
    • one year ago
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    \[2m=4m-120 \\ -2m=-120 \\ m=60 \\ 4m-120=5n \\ 4(60)-120=5n \\ 240-120=5n \\ 120=5n \\ n=24\]

  34. anonymous
    • one year ago
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    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
    • one year ago
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    but you said n is 12... right? so let me ask ... |dw:1443728686588:dw|

  36. freckles
    • one year ago
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    |dw:1443728916796:dw|

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