Final answer:
To determine the measure of angle D, subtract the sum of angles A and B from 180 degrees.
Step-by-step explanation:
To determine the measure of angle D, we need to use the fact that the sum of interior angles in a triangle is 180 degrees. Given that angle A is 57 degrees and angle B is 66 degrees, angle D can be found by subtracting the sum of angles A and B from 180 degrees.
Therefore, angle D = 180 - (angle A + angle B) = 180 - (57 + 66) = 180 - 123 = 57 degrees.