Answer:
Alternate Interior angles
x = 25
Explanations:
By careful observation of the diagram, we would see that both angles are at the opposite sides of the transversal. At the same time, they are at the interior of the two parallel lines.
This means that <108 and <4x + 8 are alternate interior angles.
Since the two lines intersecting the transversal are parallel, the alternate interior angles are equal
That is,
4x + 8 = 108
4x = 108 - 8
4x = 100
x = 100/4
x = 25