Q9. Which line is parallel to AB炉? ... [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: Q9. (page 111)

Which line is parallel to $\overset{炉}{AB}$ ? Why?

Short Answer

Expert verified

The line $\overset{炉}{A B}$ is parallel to the line $\overset{炉}{DF}$ as they form a pair of same-side interior angles.

Step by step solution

Step 1. Highlight ∠BAD and ∠ADF.

Step 2. Description of step.

If a line intersects two lines and it makes two angles on the same side such that sum of two angles is equal to $180 掳$ , then the lines are parallel and that line is a transversal of two parallel lines.

Step 3. Description of step.

From the figure, it can be observed that $鈭� B A D$ and $鈭� A D F$ are the same side interior angles, as

$\begin{array}{r} m 鈭� B A D + m 鈭� A D F = 115 + 65 \\ = 180 \end{array}$

Therefore, lines $\overset{炉}{A B}$ and $\overset{炉}{D F}$ are parallel.

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1. $鈭� 2 鈮� 鈭� 1$	1.
2. $鈭� 1 鈮� 鈭� 3$	2.
3. $鈭� 2 鈮� 鈭� 3$	3.
4. $l\|\| n$	4.

91影视

Which line is parallel to $\overset{炉}{AB}$ ? Why?

Short Answer

Step by step solution

Step 1. Highlight ∠BAD and ∠ADF.

Step 2. Description of step.

Step 3. Description of step.

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91影视

Which line is parallel to AB炉? Why?

Short Answer

Step by step solution

Step 1. Highlight ∠BAD and ∠ADF.

Step 2. Description of step.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Mechanics Maths

Probability and Statistics

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Which line is parallel to $\overset{炉}{AB}$ ? Why?