Answer:
[tex]{\angle}dab=84^{\circ}[/tex]
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
[tex]{\angle}cda+{\angle}dab=180^{\circ}[/tex]
Substituting the given values, we get
[tex]96^{\circ}+{\angle}dab=180^{\circ}[/tex]
⇒[tex]{\angle}dab=180-96[/tex]
⇒[tex]{\angle}dab=84^{\circ}[/tex]
Thus, the measure of [tex]{\angle}dab[/tex]is [tex]84^{\circ}[/tex].
