5 x 3 x + 52° k

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The image displays two intersecting lines labeled \( j \) and \( k \). These lines form two adjacent angles. One angle is labeled as \( 5x \), and the adjacent angle is labeled as \( 3x + 52^\circ \). The intersecting lines create vertical angles that are equal. 

Key details from the diagram:

1. **Intersecting Lines:** Lines \( j \) and \( k \) intersect, forming angles where they cross.
2. **Angles:** The angles formed are \( 5x \) and \( 3x + 52^\circ \).
3. **Vertical Angles:** In the diagram, the angle labeled \( 5x \) and \( 3x + 52^\circ \) are vertical angles, thus equal to each other.

Given the properties of vertical angles, the equation \( 5x = 3x + 52 \) can be established to find the value of \( x \).
Transcribed Image Text:The image displays two intersecting lines labeled \( j \) and \( k \). These lines form two adjacent angles. One angle is labeled as \( 5x \), and the adjacent angle is labeled as \( 3x + 52^\circ \). The intersecting lines create vertical angles that are equal. Key details from the diagram: 1. **Intersecting Lines:** Lines \( j \) and \( k \) intersect, forming angles where they cross. 2. **Angles:** The angles formed are \( 5x \) and \( 3x + 52^\circ \). 3. **Vertical Angles:** In the diagram, the angle labeled \( 5x \) and \( 3x + 52^\circ \) are vertical angles, thus equal to each other. Given the properties of vertical angles, the equation \( 5x = 3x + 52 \) can be established to find the value of \( x \).
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