40.4k views
3 votes
3. Use the relationship between 21 and 25 to decide whether the top and middle

shelves are parallel. (2 points)

3. Use the relationship between 21 and 25 to decide whether the top and middle shelves-example-1
User TheFogger
by
7.1k points

1 Answer

5 votes

Answer:

The top and middle shelves are parallel.

Explanation:

<1 and <5 are corresponding angles.

When two lines are cut by a transversal such that corresponding angles are congruent, the lines are parallel.

If angles 1 and 5 are congruent, the shelves are parallel.

We are given m<5 = 60°.

Also, m<2 = 120°.

Angles 1 and 2 are a linear pair and are supplementary.

The measures of angles 1 and 2 add to 180°.

m<1 + m<2 = 180°

m<1 + 120° = 180°

Subtract 120° from both sides.

m<1 = 60°

m<1 = m<5 = 60°

Since angles 1 and 2 have the same measure, 60°, angles 1 and 2 are congruent.

Answer: The top and middle shelves are parallel.

User Zseder
by
9.1k 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