In a quadrilateral inscribed in a circle, the opposite angles are supplementary, which means they add up to 180 degrees.
So, if angle B measures 19 degrees, then the measure of angle D is:
Angle D = 180 degrees - Angle B
Angle D = 180 degrees - 19 degrees
Angle D = 161 degrees
Therefore, the measure of angle D is 161 degrees.