The measure of angle LMN = 35 degrees.
What are corresponding angles?
Corresponding angles are angles that are formed as a result of two lines being cut by another line known as a transversal line, the angle formed at the edge of each of those two lines are called corresponding angles.
As a result of that, we can infer that:
x = (3x - 70)
x - 3x = - 70
-2x = - 70
Divide both sides by -2

x = 35
Now, the measure of angle LMN = 3x - 70
= 3(35) - 70
= 105 - 70
= 35
Therefore, the measure of angle LMN = 35 degrees.