Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
![### Instructions
**Find the value of \( x \) in each case.**
### Diagram Explanation
The diagram consists of a straight line DEF and a triangle ABC. Here's a detailed explanation of the components:
- **Line DEF**:
- Starts at point D, passes through E, and ends at point F.
- The section DE is labeled \( 2x \).
- The section EF is labeled \( 4x \).
- **Triangle ABC**:
- The line DE is parallel to the line AB of the triangle.
- The vertex A of the triangle is connected to vertex B with a line segment labeled \( 6x \).
- Line EF acts as a transversal to the triangle ABC.
### Problem Formulation
To find the value of \( x \), consider the angle relationships formed by the transversal EF and the parallel lines DE and AB.
\[ x = \text{[ ]} \] (box to fill in your answer)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0063a790-0857-477e-b30c-205c5da4be1a%2F485ce224-90fe-4e86-b02c-7d99bba11d62%2Fr12zkk_processed.png&w=3840&q=75)
Transcribed Image Text:### Instructions
**Find the value of \( x \) in each case.**
### Diagram Explanation
The diagram consists of a straight line DEF and a triangle ABC. Here's a detailed explanation of the components:
- **Line DEF**:
- Starts at point D, passes through E, and ends at point F.
- The section DE is labeled \( 2x \).
- The section EF is labeled \( 4x \).
- **Triangle ABC**:
- The line DE is parallel to the line AB of the triangle.
- The vertex A of the triangle is connected to vertex B with a line segment labeled \( 6x \).
- Line EF acts as a transversal to the triangle ABC.
### Problem Formulation
To find the value of \( x \), consider the angle relationships formed by the transversal EF and the parallel lines DE and AB.
\[ x = \text{[ ]} \] (box to fill in your answer)
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