Can someone explain me how do you calculate this?

  • jjj@lemmy.blahaj.zoneEnglish
    9·
    5 days ago

    The opposite angles made by 2 intersecting lines must be equal, so we know that m/3 + 75 = m/2 + 64.

    From there we can solve it like any equation 
     m/3 + 75  =  m/2 + 64
-m/3         -m/3
       75  =  m/6 + 64
      -64          -64
       11  =  m/6
       ×6      ×6
       66  =  m
  • Sushi@lemmy.blahaj.zoneEnglish
    2·
    5 days ago

    One of the angle things with two straight intersecting lines means the two angles are equal, from there its just algebra.

    Take 64 from both sides, take m/3 from both sides. Times both sides by 6, m=something, idk i didnt do the actual math.

  • FiniteBanjo@feddit.onlineEnglish
    1·
    5 days ago

    Well, we know that BA and DC are lines connecting points and therefor they are straight, that means opposite angles are equal.

    m/3 + 75 = m/2 + 64  
We don't like those fractions we're gonna get rid of them, Lowest Common Denominator is 6  
6(m/3 + 75) = 6(m/2 + 64)  
6(m/3) + 6(75) = 6(m/2) + 6(64)  
2m + 450 = 3m + 384  
Now separate the variables to one side and numbers to the other  
2m - 2m + 450 = 3m - 2m + 384  
450 = m + 384  
450 - 384 = m + 384 - 384  
66 = m  
Let's test that out by plugging it back into the original equation  
66/3 + 75 = 66/2 + 64  
22 + 75 = 33 + 64  
97 = 97  
Seems legit  
m = 66

    But why m? I think that’s m as in “y=mx+b” or the slope of the line? Kind of a weird notation but honestly just ignore it. It’s just a regular variable for now.