Given,
The measure of angle A is 34 degree.
Required
The measure of angle D.
It is given that, ABCD is a parallelogram.
According to the property of parallelogram , the opposite sides of the parallelogram are equal and parallel.
The sum of adjacent interior angle between two parallel line is 180 degree.
So,
[tex]\begin{gathered} \angle A+\angle D=180^{\circ} \\ 34^{\circ}+\angle D=180^{\circ} \\ \angle D=146^{\circ} \end{gathered}[/tex]
Hence, the measure of angle D is 146 degree.
