Answer:
[tex]\huge\boxed{x=59}[/tex]
[tex]\texttt{Read the explanation for the equation.}[/tex]
Step-by-step explanation:
Given that lines [tex]l[/tex] and [tex]m[/tex] are parallel, that means that we can establish some basic angle relationships here.
Since both lines are cut by a transversal, that means all angles formed by that line will be equivalent.
[tex](3x-33)\textdegree[/tex] and [tex](2x+26)\textdegree[/tex] are going to be equivalent because they are alternate exterior angles. These are formed by two parallel lines being cut by a transversal, and they will always be equal.
Since we know that both angles are equivalent to each other, we can set the expressions equal to each other to find x.
[tex](3x-33) = (2x+26)[/tex]
Here's your equation, by the way.
We can now solve for x.
[tex]3x-33=2x+26[/tex]
Add 33 to both sides:
[tex]3x=2x+59[/tex]
Subtract 2x from both sides:
[tex]x=59[/tex]
Therefore, x = 59.
Hope this helped!
