Proof:
its is given that ∠1 and ∠2 are supplementary. ∠1 and ∠3 are also supplementary, so
since ∠2 and ∠3 are corresponding angles, a║b.

a. ∠3 and ∠2 are supplementary.

b. ∠2=∠3

c. ∠2≈∠3

d. ∠2 and ∠3 are not supplementary.

Option B is correct

Step-by-step explanation:

Given that:

and are supplementary.

prove that:

It is given that:

and are supplementary.

By definition of supplementary

⇒            .....[1]

From the figure, you can see that:

and are also supplementary.

⇒            .....[2]

By [1] and [2] we have;

⇒

Simplify:

Since ∠2 and ∠3 are corresponding angles.

Corresponding angles states when the two lines are parallel, then Corresponding Angles are equal and vice versa.

by definition we have;

                     proved!