Respuesta :

Set them to equal each other because they are corresponding angles. (:

[tex]3x = 120[/tex]

[tex]x=40[/tex]


The value of x that will make m parallel to n is: 40.

  • Recall:

According to the Converse of Corresponding Angles Theorem, the two lines cut across by a transversal line are parallel to each other if the two corresponding angles formed are congruent.

Therefore, let's find the value of x that will make m parallel to n.

  • Thus,

[tex]3x^{\circ} = 120^{\circ}[/tex] (corresponding angles)

  • Solve for x. Divide both sides by 3

[tex]x = 40[/tex]

Therefore, the value of x that will make lines m and n to be parallel to each other is 40.

Learn more here:

https://brainly.com/question/14629180