Final answer:
Angle J measures 75 degrees.
Step-by-step explanation:
Let's assume the measure of angle J is x degrees. Since angles J and K are complementary, the measure of angle K would be 90 - x degrees. The problem states that angle J is 15 less than angle K, so we can set up the equation x = (90 - x) - 15. Solving this equation, we find that x = 75 degrees. Therefore, angle J measures 75 degrees (option D).
Learn more about Complementary angles