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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Transcribed Image Text:The image illustrates a pair of intersecting lines, forming several angles. One angle is labeled as "79°" with another angle opposite it labeled as "x". These angles are vertical angles, which means they are equal.
### Explanation:
Vertical angles are the angles opposite each other when two lines intersect. In this diagram, the lines create two pairs of vertical angles. Vertical angles are congruent, meaning they have the same measure. Therefore, angle \( x \) is also \( 79^\circ \).
This concept is fundamental in geometry and is based on the intersecting lines theorem which states that opposite angles are equal when two lines cross each other.
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