Final answer:
To find m∠IGJ given m∠EGD = 38°, additional information about their relationship is necessary. Without context, a definitive answer cannot be provided.
Step-by-step explanation:
If m∠EGD = 38°, to determine m∠IGJ we need additional information about the relationship between these angles. Without context, such as whether they are vertical angles, supplementary angles, or if there's a transversal line crossing parallel lines to invoke alternate interior angles or corresponding angles theorem, it is not possible to provide a definitive answer to this question. Moreover, none of the provided references contain relevant information that can be used to deduce the measure of m∠IGJ.