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 + 384450 = m + 384450 - 384 = m + 384 - 38466 = m
Let's test that out by plugging it back into the original equation 66/3 + 75 = 66/2 + 6422 + 75 = 33 + 6497 = 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.
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 = 66But 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.