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Chapter 3: Q5 (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鈭�1=m鈭�8

Short Answer

Expert verified

The required segments are PL炉and AR炉.

Step by step solution

01

Step 1. Determine which theorem or postulate can be used

The theorem 3-5 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 alternate interior side represents the congruent angles.

02

Step 2. Make an observation from the provided figure

The provided figure consists of two lines PL炉and AR炉the separate line that travels through these lines is AL炉. According to the figure, the angles that are congruent are 鈭�1and 鈭�8so make an equation that represents the measurement.

m鈭�1=m鈭�8

03

Step 3. Make the conclusion

Using the theorem 3-5 determine the lines that are having a parallel relation between them.

PL炉AR炉

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