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Chapter 3: Q11 (page 86)

In each exercise some information is given. Use this information to name the segments that must be parallel. If there are no such segments, say so.

m∠1+m∠2+m∠5+m∠6=180

Short Answer

Expert verified

The required segments are PA¯and LR¯.

Step by step solution

01

Step 1. Determine which theorem or postulate can be used

The theorem 3-6 can be used which states that the relation between two lines is parallel only when a separate line travels through these two lines and the angles which are positioned on the same side are supplementary which means that their measurement will be equal to if they are added.

02

Step 2. Make an observation from the provided figure

Write the provided angles according to the segments.

m∠APL+m∠PLR=180

The lines associated with these angles are PA¯and LR¯from which a separate line PL¯travels.

03

Step 3. Make the conclusion

The obtained equation represents the angles that represent the same side interior angles so by using the theorem 3-6 determine the lines that are having a parallel relation between them.

PA¯LR¯

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Most popular questions from this chapter

Exercises 23-29 refer to the diagram in step 2 of exercise 22.

Name four lines that appear to be skew toAB¯.

Classify each pair of angles as alternate interior angles, same-side interior angles, or corresponding angles.

and

State the postulate or theorem that justifies each statement.

∠3≅∠6

Find the values xof yand

Complete each statement with the word always, sometimes, or never.

Two lines that are not coplanar intersect.
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