Answer:
[tex]\huge\boxed{x=23}[/tex]
Step-by-step explanation:
In order to find the value of x that makes m || n, we need to note something.
When two parallel lines are cut by a transversal, their angle measures will be the same.
Therefore, in order for m and n to be parallel, their two angles listed must be equivalent.
So, we can set these expression equal to each other and solve for x.
- [tex]7x - 11 = 4x + 58[/tex]
- [tex]7x = 4x+ 69[/tex]
- [tex]3x = 69[/tex]
- [tex]x = 23[/tex]
Therefore, x=23.
Hope this helped!
