Answer:
![{\angle}dab=84^{\circ}](https://tex.z-dn.net/?f=%7B%5Cangle%7Ddab%3D84%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Given: It is given that a quadrilateral abcd is given in which ab is parallel to dc and the measure of ∠d is 96 degrees.
To find: The measure of the ∠DAB.
Solution: It is given that a quadrilateral abcd is given in which ab is parallel to dc and the measure of ∠d is 96 degrees.
Now, using the corresponding angle property in quadrilateral abcd, we have
![{\angle}cda+{\angle}dab=180^{\circ}](https://tex.z-dn.net/?f=%7B%5Cangle%7Dcda%2B%7B%5Cangle%7Ddab%3D180%5E%7B%5Ccirc%7D)
Substituting the given values, we get
![96^{\circ}+{\angle}dab=180^{\circ}](https://tex.z-dn.net/?f=96%5E%7B%5Ccirc%7D%2B%7B%5Cangle%7Ddab%3D180%5E%7B%5Ccirc%7D)
⇒![{\angle}dab=180-96](https://tex.z-dn.net/?f=%7B%5Cangle%7Ddab%3D180-96)
⇒![{\angle}dab=84^{\circ}](https://tex.z-dn.net/?f=%7B%5Cangle%7Ddab%3D84%5E%7B%5Ccirc%7D)
Thus, the measure of
is
.