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

Algebra.Com
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)   (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)   (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.





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

RELATED QUESTIONS

find the value of X for which L||M i will try to illustrate it the site will not allow me (answered by josgarithmetic)
find the value of X for which L || M / / / /... (answered by josgarithmetic)
find the value of x for which L and M are parallel i'll try to illustrate as best as i... (answered by josgarithmetic)
lines L and M are parallel find the measure of angle 6 i will try to illustrate it the... (answered by rothauserc)
the problem says to find the measure of angle A that is all the information they gave me... (answered by Fombitz)
if lines L and M are parallel what is the measure of angle 3 i'll try to illustrate it... (answered by ikleyn)
the problem says solve for y=deg but it only shows where X and Y are i will try to... (answered by solver91311)
Lines L and M are parallel what is the measure of angle 4 i will try to illustrate it (answered by ikleyn)
if lines L and M are parallel what is the measure of angle 3 i will try to illustrate it... (answered by MathLover1)