Question

ABCD is a parallelogram. If m∠CDA = 75, then what is m∠DAB?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Concept:

We need to know some basic information about paralellograms.

Opposite sides of a parallelogram are equal and parallel.

Adjacent angles of a parallelogram are supplementary.

If two lines which are parallel are intersected by a transversal then the pair of interior angles on the same side of the transversal are supplementary.

Given:

In a paralellogram ABCD, ∠CDA=75°

To find:

We need to find the value ∠DAB.

Solution:

Now, we know that

AB||CD, therefore

∠CDA+∠DAB=180°

⇒∠DAB+75=180

⇒∠DAB=180-75

⇒∠DAB=105°

Therefore, ∠DAB=105°