16.8k views
2 votes
NEED HELP ASAP PLEASE!! line v is parallel to line w. Which set of statements about the angles is true?

NEED HELP ASAP PLEASE!! line v is parallel to line w. Which set of statements about-example-1

2 Answers

3 votes

The second statement about the angles is true

User Steglig
by
7.9k points
2 votes

Answer:

The set of statement which is true about the angles is:

∠1≅∠5, ∠2≅∠4 and ∠3≅∠6

Explanation:

Vertically opposite angle--

Two angle are said to be vertically opposite if they are formed by the intersection of two lines and are opposite to each other and hence equal.

Alternate interior angles--

The alternate interior angle are always congruent.

They are formed when a transversal passes through the two parallel lines such that the angle is formed on both the lines and are on opposite side.

As we could see from the figure that:

Line v and w are parallel.

Hence, we get:

∠1≅∠5, ∠2≅∠4 and ∠3≅∠6

( since angle (1 and 5) and (2 and 4) are pair of alternate interior angles and ∠3 and ∠6 are pair of vertically opposite angles )

User Btilly
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories