Answer:
[tex]m\angle ABC=95^{\circ}[/tex]
Step-by-step explanation:
We have been given a parallelogram ABCD. We are asked to find the the measure of angle ABC.
We know that two consecutive angles of parallelogram are supplementary. So we can set an equation as:
[tex]m\angle BAD+m\angle ABC=180^{\circ}[/tex]
[tex]85^{\circ}+m\angle ABC=180^{\circ}[/tex]
[tex]85^{\circ}-85^{\circ}+m\angle ABC=180^{\circ}-85^{\circ}[/tex]
[tex]m\angle ABC=95^{\circ}[/tex]
Therefore, the measure of angle ABC is 95 degrees.
