Final answer:
Without sufficient context or information, it is impossible to determine the measure of ∠ABK from the options given in the question about Mathematics.
Step-by-step explanation:
The subject of this question is Mathematics, specifically dealing with angles and their measures. Despite the information provided being a list of various angle measurements and expressions, the question posted does not include sufficient context or information for determining the measure of ∠ABK. Therefore, it is impossible to confidently provide a correct answer to the question: "Determine the measure of ∠ABK" from the options given without additional information. A diagram or further explanation of the relationship between the angles listed and ∠ABK would be required.