Answer: The measure of ∠DAB is 91°.
Explanation:
Since we have given that
AB = CD
AD = BC
So, ABCD is a parallelogram.
m∠D=89°
and we know that
∠A and ∠D are adjacent angles.
So, their sum would be supplementary.
Now, it becomes,
![89^\circ+\angle A=180^\circ\\\\\angle DAB=180^\circ-89^\circ\\\\\angle DAB=91^\circ](https://img.qammunity.org/2020/formulas/mathematics/high-school/9zgoyebjimort7honrvuuh05jd7lfelouv.png)
Hence, the measure of ∠DAB is 91°.