SOLUTION: find the value of X if L || M / / / / / / 3x-33/ / _____/___/________ / / 2x+6 / / L M sorry ahead of time that e

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Question 1053995: find the value of X if L || M
/ /
/ /
/ /
3x-33/ /
_____/___/________
/ / 2x+6
/ /
L M
sorry ahead of time that everything moves to the left when I post it
the 3x-33 goes on top of the bisecting line on the left of L, and the 2x+6 goes below the bisecting line on M
Found 2 solutions by stanbon, josgarithmetic:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
/ /
3x-33/ /
_____/___/________
/ / 2x+6
/ /
L M
--------------------
Those angles are alternate-exterior angles
and they are equal.
-----
3x-33 = 2x+6
x = 39
-----
angle:: 3x-33 = 3*39-33 = 84 degrees
angle:: 2x+6 = 2*39 + 6 = 78+6 = 84 degrees
----------------
Cheers
Stan H.
-------------

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Use the PRE tag! Your diagram is then this:
          /   /
         /   /
        /   /
  3x-33/   /
 _____/___/________
     /   / 2x+6
    /   /
   L   M


Imagine the two parallel lines L and M collapsing to become one single line:
         /   
        /        
  3x-33/
 _____/________
     / 2x+6
    /   
   L   M

Vertical Angles Are Congruent.
3x-33=2x%2B6
x-33=6
x=6%2B33
highlight%28x=39%29

Click on the hyperlink, "Show Source". See how the tags are made.