anonymous
  • anonymous
This is another question, I think I'm getting the hang of this. Picture is attached below
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|dw:1443727429177:dw|
anonymous
  • 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
anonymous
  • anonymous
|dw:1443727580378:dw|

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freckles
  • freckles
|dw:1443727702263:dw|
anonymous
  • 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
anonymous
  • 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?
freckles
  • 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
freckles
  • freckles
which means 2m=4m-120
anonymous
  • anonymous
Yes I did, but it only talked about supplementary angles. oh okay, wait so 2m=4m-120
freckles
  • freckles
it also talked about congruent angles
freckles
  • freckles
and it talked about three kinds of congruent angles
freckles
  • freckles
the angles I mentioned earlier were corresponding angles
freckles
  • freckles
now |dw:1443728005251:dw| the sum of these circled angles is 180 deg
anonymous
  • 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
freckles
  • freckles
4m-120+5n=180
freckles
  • freckles
yes
freckles
  • freckles
vertical angles equal 180
freckles
  • freckles
so you got m is 60 right?
freckles
  • freckles
replace m with 60 then 4(60)-120+5n=180 and now solve for n
anonymous
  • anonymous
Yes. So n=12
freckles
  • freckles
right since you have 240-120+5n=180 120+5n=180 5n=60 n=12 great
anonymous
  • anonymous
Thank you very much for your help!
freckles
  • freckles
np on that site they mentioned all the angles that are congruent when you have some picture like this: |dw:1443728172278:dw|
freckles
  • freckles
congruent means they have the same degree measurement
freckles
  • freckles
hey also one more important thing
anonymous
  • anonymous
yes? Sorry I was looking at other things in that one site you gave me
freckles
  • freckles
I confused myself earlier
freckles
  • freckles
and I guess I forgot what vertical angles were
freckles
  • freckles
but vertical angles are the same not supplementary
anonymous
  • anonymous
Yeah sorry I got confused, but yes.
freckles
  • freckles
so hmm... this means n will be different
freckles
  • freckles
|dw:1443728561704:dw|
freckles
  • freckles
\[2m=4m-120 \\ -2m=-120 \\ m=60 \\ 4m-120=5n \\ 4(60)-120=5n \\ 240-120=5n \\ 120=5n \\ n=24\]
anonymous
  • 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 :)
freckles
  • freckles
but you said n is 12... right? so let me ask ... |dw:1443728686588:dw|
freckles
  • freckles
|dw:1443728916796:dw|

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