A 120° D 15x + 5 22x + 4 B

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
Question

1. Find x

The image displays a geometric diagram featuring a triangle labeled ABC and a straight line extending through point D. Here's a transcription and explanation:

- **Triangle ABC** is depicted above a line. 
  - **Vertex C** is at the top of the triangle.
  - The interior angle at vertex C is labeled as \(15x + 5\).

- **Line Segment AB** extends horizontally through point D to form two angles with line segment CD:
  - At point D (on the left), the angle is labeled \(120^\circ\).
  - The angle near point B (on the right) is expressed as \(22x + 4\).

This setup suggests a problem involving linear pair angles or supplementary angles, where the angles on a straight line (formed by CD and DB) sum to \(180^\circ\).
Transcribed Image Text:The image displays a geometric diagram featuring a triangle labeled ABC and a straight line extending through point D. Here's a transcription and explanation: - **Triangle ABC** is depicted above a line. - **Vertex C** is at the top of the triangle. - The interior angle at vertex C is labeled as \(15x + 5\). - **Line Segment AB** extends horizontally through point D to form two angles with line segment CD: - At point D (on the left), the angle is labeled \(120^\circ\). - The angle near point B (on the right) is expressed as \(22x + 4\). This setup suggests a problem involving linear pair angles or supplementary angles, where the angles on a straight line (formed by CD and DB) sum to \(180^\circ\).
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