# Thread: Need help with Transitive property.....

1. ## Need help with Transitive property.....

I'm more than abit rusty and am lost!
I need to use the transitive property to solve this problem?
M<1+ M<2= 180 degrees
M<3+ M<2= 180 degrees
M<1=M<3
???

Any help would be much appreciated with detailed instructions explaining steps.
(< is suppose to be acute angle sign.. I dont know how to make one on here.)
Thanks so much

2. ## Re: Need help with Transitive property.....

HINT:
a + b = x [1]
c + b = x [2]
Subtracting [2] from [1]: a - c = 0

3. ## Re: Need help with Transitive property.....

You have \displaystyle \begin{align*} \angle_1 + \angle_2 &= 180^{\circ} \\ \angle_3 + \angle_2 &= 180^{\circ} \end{align*}

Since the sums are both equal to $\displaystyle 180^{\circ}$, the sums are equal. So

\displaystyle \begin{align*} \angle_1 + \angle_2 &= \angle_3 + \angle_2 \\ \angle_1 &= \angle_3 \end{align*}

4. ## Re: Need help with Transitive property.....

when I have <1+<2=180 Am I trying to find a sum thats divided by 3 to =180? (60)
?? Then I have <3+ <2=180 So I"m applying 60x3(180) and 60x2(120) then adding 120 and 180=300 ?? Am I working the steps wrong??
I haven't taken any math since the 80's and don't remeber any of the algebra

5. ## Re: Need help with Transitive property.....

Originally Posted by Prove It
You have \displaystyle \begin{align*} \angle_1 + \angle_2 &= 180^{\circ} \\ \angle_3 + \angle_2 &= 180^{\circ} \end{align*}

Since the sums are both equal to $\displaystyle 180^{\circ}$, the sums are equal. So

\displaystyle \begin{align*} \angle_1 + \angle_2 &= \angle_3 + \angle_2 \\ \angle_1 &= \angle_3 \end{align*}
sweetness, there's not much more to say than what I have quoted. The justification for the sentence "Since the sums are both equal..." could be stated as the substitution property (or transitive, depending on your book).
Then to get to the last line, use the subtraction property.

6. ## Re: Need help with Transitive property.....

Thank you to Wilmer, Prove It and The Chaz for your help. I must be over analyzing the problems, due to my fear of not knowing