(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
icon
Related questions
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")** |                                                        |                                             |
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")** | | |
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Types of Angles
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning