body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

3. Proving Lines Parallel

Continue to next subchapter

Exercise 43 Page 162

Use the Converse of the Same-Side Interior Angles Postulate.

PL ∥ NA, see solution

Practice makes perfect

Let's start by recalling the Converse of the Same-Side Interior Angles Postulate.

Converse of the Same-Side Interior Angles Postulate
If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel.

To apply the postulate, let's draw quadrilateral PLAN using the given angles. Let's also extend its sides.

We see that, in this case, the interior angles are supplementary only in the horizontal direction, so we can determine only one pair of parallel lines. PL ∥ NA

Subchapter links

Lesson Check p.160

Practice and Problem-Solving Exercises p.160-162

Standardized Test Prep p.163

Mixed Review p.163