А 6 80 В 11 С 12 20 + 5x D 5

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
Topic Video
Question
100%
Please help me
**Question 6:** Solve for \( x \).

**Options:**
A. 6
B. 11
C. 12
D. 5

**Diagram Explanation:**
The image contains a diagram with two intersecting lines. One angle formed by these lines is labeled \( 80^\circ \), and the adjacent angle is labeled \( 20 + 5x \). These two angles are supplementary, meaning their sum equals \( 180^\circ \).

To solve for \( x \), follow these steps:
1. Set up the equation based on the supplementary angles:
    \[
    80 + (20 + 5x) = 180
    \]
2. Simplify and solve for \( x \):
    \[
    80 + 20 + 5x = 180
    \]
    \[
    100 + 5x = 180
    \]
    \[
    5x = 80
    \]
    \[
    x = 16
    \]

However, since none of the provided answers (A, B, C, D) provide 16, there may be an issue with the transcription or a trick in the problem. Double-check the provided angle values and ensure the answer choices align with the problem constraints.
Transcribed Image Text:**Question 6:** Solve for \( x \). **Options:** A. 6 B. 11 C. 12 D. 5 **Diagram Explanation:** The image contains a diagram with two intersecting lines. One angle formed by these lines is labeled \( 80^\circ \), and the adjacent angle is labeled \( 20 + 5x \). These two angles are supplementary, meaning their sum equals \( 180^\circ \). To solve for \( x \), follow these steps: 1. Set up the equation based on the supplementary angles: \[ 80 + (20 + 5x) = 180 \] 2. Simplify and solve for \( x \): \[ 80 + 20 + 5x = 180 \] \[ 100 + 5x = 180 \] \[ 5x = 80 \] \[ x = 16 \] However, since none of the provided answers (A, B, C, D) provide 16, there may be an issue with the transcription or a trick in the problem. Double-check the provided angle values and ensure the answer choices align with the problem constraints.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Research Design Formulation
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