Answer: [tex]95^{\circ}[/tex]
Step-by-step explanation:
In the given picture , we have given a parallelogram [Opposite sides are congruent and parallel].
We know that the adjacent angles of parallelogram are supplementary angles.
Thus, [tex]\angle{DAB}[/tex] and [tex]\angle{ABC}[/tex] are supplementary angles.
[tex]\Rightarrow\ \angle{DAB}+\angle{ABC}=180^{\circ}\\\\\Rightarrow\ 85^{\circ}+\angle{ABC}=180^{\circ}\\\\\Rightarrow\ \angle{ABC}=180^{\circ}-85^{\circ}\\\\\Rightarrow\ \angle{ABC}=95^{\circ}[/tex]
Hence, the measure of [tex]\angle{ABC}=95^{\circ}[/tex]
