I need help can someone explain this to me

Line m is parallel to line n

Explanation:

Let's use the given x value to compute the measure of angle 1

angle 1 = 19x - 10

angle 1 = 19*8 - 10

angle 1 = 152 - 10

angle 1 = 142 degrees

Do the same for angle 3

angle 3 = 15x + 22

angle 3 = 15*8 + 22

angle 3 = 120 + 22

angle 3 = 142 degrees

Since both angles are 142 degrees, this means lines m and n are parallel by the converse of the corresponding angle theorem.

The converse says that if you have congruent corresponding angles, then this leads directly to parallel lines as indicated in the diagram.

Angles 1 and 3 correspond together because they are in the upper left, or northwest, corner of each four corner angle configuration.