Y'all good at maths? I really can't understand this question.

4 months ago by MeowerMisfit817 to c/pillow_talk

Can someone explain me how do you calculate this?

jjj 9 points 4 months 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

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SushiSushi 2 points 4 months 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.

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TheReturnOfPEB 1 point 4 months ago

well question marks, as far as I know, are a way of asking a question.

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FiniteBanjo 1 point 4 months 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.

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