Question

A student was given the following diagram and asked to prove that 21 4 22.

What would be the reason for the third step in the proof?
Given: Line A and line Bare parallel.
Prove: 21 22

Answer 1

Answer: vertical angles are congruent.

Explanation:

Answer 2

Answer: Vertical angles are congruent.

Explanation:

Given : Line A and line Bare parallel.

To prove : ∠1≅∠2

We know that when two lines crosses each other, they make vertically opposite angles.

In picture , we have ∠2 and ∠3 are vertical angles.

And it is known that the vertical angles are congruent.

Therefore, ∠2 ≅ ∠3

So the correct reason to the statement "∠2 ≅ ∠3" is "Vertical angles are congruent."