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
Find the value of x.
Transcribed Image Text:The diagram depicts a set of intersecting lines, forming angles labeled with their respective measures.
- Angle labeled as \(62^\circ\) is located at the top left of the intersection.
- Angle \(x^\circ\) is positioned adjacent to the \(62^\circ\) angle.
- Angle labeled as \(144^\circ\) is situated at the bottom right of the intersection.
The lines form a linear pair with angles \(62^\circ\) and \(144^\circ\) on a straight line, indicating they are supplementary and their sum is \(180^\circ\). Solving for \(x^\circ\) involves recognizing that it is vertically opposite to the \(144^\circ\) angle, so \(x = 144^\circ\).
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