Considering corresponding angles, it is found that for x = 22 the lines are parallel.
When two parallel lines are cut by a transversal, the angles that are in the same position in the parallel lines are called corresponding angles, and they are congruent, that is, they have the same measure.
In this questions, these angles are: (4x + 28)º and 116º.
If the lines are parallel, they are congruent, thus:
[tex]4x + 28 = 116[/tex]
[tex]4x = 88[/tex]
[tex]x = \frac{88}{4}[/tex]
[tex]x = 22[/tex]
Thus, the value is x = 22.
A similar problem is given at https://brainly.com/question/16742265
