Angle ABG = Angle GEB = 65°.
Given that ABC and DEF are parallel lines, we can use the properties of
alternate angles and corresponding angles formed by parallel lines and a
transversal.
Angle GEB = Angle ABG (Alternate angles as BG is a transversal cutting
parallel lines)
Angle DEG = 38° (Given)
Therefore, Angle ABG = Angle GEB = 65°.