Final answer:
Without additional information about the angles in triangles ΔABC or ΔDEF, we cannot determine the measure of ∠B from the given choices.
Step-by-step explanation:
To determine the measure of ∠B, we need to utilize the fact that triangles ΔABC and ΔDEF are congruent (ΔABC ≅ ΔDEF), as stated in the question. Congruent triangles have exactly the same size and shape, which means corresponding angles and sides are equal. Without further information provided in the question or additional context, such as the measure of the corresponding angle in ΔDEF or other angle measures in ΔABC, we cannot confidently give the correct answer from the options a) 53º, b) 23º, c) 67º, or d) 16º. Therefore, in order to provide the measure of ∠B, additional details about the angles in either ΔABC or ΔDEF are required.