Determine the value of x. 5x° /80°

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
**Determine the value of x.**

The diagram shows a straight angle which is split into two adjacent angles. The left angle is labeled \(5x^\circ\) and the right angle is labeled \(80^\circ\).

To solve for \(x\), use the fact that the sum of all angles on a straight line is \(180^\circ\).

We write the equation:

\[5x + 80 = 180\]

To isolate \(x\), subtract \(80\) from both sides:

\[5x = 100\]

Next, divide by \(5\):

\[x = 20\]

Therefore, the value of \(x\) is \(20\).
Transcribed Image Text:**Determine the value of x.** The diagram shows a straight angle which is split into two adjacent angles. The left angle is labeled \(5x^\circ\) and the right angle is labeled \(80^\circ\). To solve for \(x\), use the fact that the sum of all angles on a straight line is \(180^\circ\). We write the equation: \[5x + 80 = 180\] To isolate \(x\), subtract \(80\) from both sides: \[5x = 100\] Next, divide by \(5\): \[x = 20\] Therefore, the value of \(x\) is \(20\).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Basics (types, similarity, etc)
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