Q11 In each exercise some informatio... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

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.
$m 鈭� 1 + m 鈭� 2 + m 鈭� 5 + m 鈭� 6 = 180$

Short Answer

Expert verified

The required segments are $\overset{炉}{P A}$ and $\overset{炉}{L R}$ .

Step by step solution

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.

Step 2. Make an observation from the provided figure

Write the provided angles according to the segments.

$m 鈭� A P L + m 鈭� P L R = 180$

The lines associated with these angles are $\overset{炉}{P A}$ and $\overset{炉}{L R}$ from which a separate line $\overset{炉}{P L}$ travels.

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.

$\overset{炉}{P A}|| \overset{炉}{L R}$

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91影视

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.
$m 鈭� 1 + m 鈭� 2 + m 鈭� 5 + m 鈭� 6 = 180$

Short Answer

Step by step solution

Step 1. Determine which theorem or postulate can be used

Step 2. Make an observation from the provided figure

Step 3. Make the conclusion

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91影视

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�2+m鈭�5+m鈭�6=180

Short Answer

Step by step solution

Step 1. Determine which theorem or postulate can be used

Step 2. Make an observation from the provided figure

Step 3. Make the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Discrete Mathematics

Geometry

Pure Maths

Mechanics Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

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.
$m 鈭� 1 + m 鈭� 2 + m 鈭� 5 + m 鈭� 6 = 180$