Answer: The measure of angle BCD is 77 degree.
Explanation:
From the given figure it is noticed that the side AB and DC are parallel and side AD and BC are parallel. So the given figure is a parallelogram.
It is given the measure of angle BCD is 103 degree.
According the property of parallelogram, any two consecutive angles of a parallelogram are supplementary angles.
Since the given figure is a parallelogram therefore angle ABC and angle BCD are supplementary angles.
[tex]\angle ABC+\angle BCD=180[/tex]
[tex]103+\angle BCD=180[/tex]
[tex]\angle BCD=180-103[/tex]
[tex]\angle BCD=77^{\circ}[/tex]
Therefore, the measure of angle BCD is 77 degree.
