Given:
Lines L and M are parallel.
To find the measure of angle 2, we would have to apply the theorem below:
When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles .
From the given diagram, angle 2 and 38 degrees occupy the same relative position hence:
[tex]m\text{ }\angle2=38^0[/tex]
Answer: 38 degrees
