Answer:
The answer is 38°
Step-by-step explanation:
Let's recall that if two parallel lines (L and M in our exercise) are crossed by another transverse straight line, then equal corresponding angles are formed (∠1 and ∠3, ∠2 and ∠38°, ∠4 and ∠6, and ∠5 and ∠7) and these angles are equal. Therefore ∠38° and ∠2 are equal.
