Question

What is the measure of ∠DAB? Enter your answer in the box. ° quadrilateral a b c d with side a b parallel to side b c and side a b parallel to side d c. angle d is 96 degrees. What is the measure of ∠DAB?

Answer 1

Answer: The measure of angle ∠DAB is 84

Explanation:

Step 1: 96 + 96 = 192

Step 2: 360 - 192 = 168

Step 3: 168 / 2 = 84

Answer 2

`{\angle}dab=84^(\circ)`

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)`

Substituting the given values, we get

`96^(\circ)+{\angle}dab=180^(\circ)`

⇒
`{\angle}dab=180-96`

⇒
`{\angle}dab=84^(\circ)`

Thus, the measure of
`{\angle}dab`is
`84^(\circ)`.