(Hint: draw an additional parallel line through x, then look for linear pairs, vertical angles, and angle pairs.) Find the value of x. 105° 125°
(Hint: draw an additional parallel line through x, then look for linear pairs, vertical angles, and angle pairs.) Find the value of x. 105° 125°
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
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Question
![Find the value of x.
(Hint: draw an additional parallel line through x, then look for linear pairs, vertical angles, and angle pairs.)
[Diagram Description: Two parallel lines are intersected by a transversal. The angles created by the intersection are labeled with degrees: one angle is 105°, another is x°, and the last one is 125°.]
In the image to the right, line m is parallel to line n.
[Diagram with lines: Lines m and n are parallel and intersected by a transversal t at angles numbered 1 to 8.]
---
**PART 3 NAME ONE PAIR (NOTE THERE ARE AT LEAST TWO RESPONSES FOR EACH)**
| Angle Pair Relationships | Please list all angle pairs | Equal or Supplementary? (Congruent or 180) |
|--------------------------------------------------------|--------------------------------------------------------|---------------------------------------------|
| **3A Alternate Interior Angles** | EXAMPLE: <3 + <6, name another | EQUAL = |
| **3B Alternate Exterior Angles** | | |
| **3C Corresponding Angles** | | |
| **3D Consecutive Interior Angles (aka "same side interior")** | | |
| **3E Consecutive Exterior Angles (aka "same side exterior")** | | |](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e0878af-355a-4efd-aeeb-fe9ffc212d74%2Fe3f13eb2-da3a-4073-aa0e-4bd2e742da5d%2F82v8z6b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the value of x.
(Hint: draw an additional parallel line through x, then look for linear pairs, vertical angles, and angle pairs.)
[Diagram Description: Two parallel lines are intersected by a transversal. The angles created by the intersection are labeled with degrees: one angle is 105°, another is x°, and the last one is 125°.]
In the image to the right, line m is parallel to line n.
[Diagram with lines: Lines m and n are parallel and intersected by a transversal t at angles numbered 1 to 8.]
---
**PART 3 NAME ONE PAIR (NOTE THERE ARE AT LEAST TWO RESPONSES FOR EACH)**
| Angle Pair Relationships | Please list all angle pairs | Equal or Supplementary? (Congruent or 180) |
|--------------------------------------------------------|--------------------------------------------------------|---------------------------------------------|
| **3A Alternate Interior Angles** | EXAMPLE: <3 + <6, name another | EQUAL = |
| **3B Alternate Exterior Angles** | | |
| **3C Corresponding Angles** | | |
| **3D Consecutive Interior Angles (aka "same side interior")** | | |
| **3E Consecutive Exterior Angles (aka "same side exterior")** | | |
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