To find the measure of angle ABD, we need to find the difference between the measurements of ray BA and ray BD.
From the image, we can see that ray BA extends along 18 degrees on the outer scale, and ray BD extends along 57 degrees on the outer scale.
To find the measure of angle ABD, we subtract the measurement of ray BA from ray BD: 57 - 18 = 39 degrees.
Therefore, the measure of angle ABD is 39 degrees.