Answer:
38
Step-by-step explanation:
The 38-deg angle and and angle 6 are vertical angles, so they are congruent.
m<6 = 38 deg
Angles 6 and 4 are corresponding angles of parallel lines cut by a transversal, so they are congruent.
m<4 = m<6 = 38 deg
< 6 = 38 vertical angles
< 6 = <2 alternate interior angles
<2 = <4 vertical angles
<4 = 38
