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Solve for x. 130⁰ 80° 70⁰ X

Solve for x. 130⁰ 80° 70⁰ X

Elementary Geometry For College Students, 7e
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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SOLVE FOR X?

**Solve for x.** This diagram shows a complex geometric figure with several intersecting lines. The angles marked on the figure are 130 degrees, 80 degrees, and 70 degrees. The angle marked with a variable is represented by 'x'. ### Diagram Explanation: - The angle on the top left, outside the central quadrilateral, is 130 degrees. - Within the quadrilateral, the angle at the bottom left is 80 degrees. - The angle at the bottom right, adjacent to angle 'x', is 70 degrees. - Angle 'x' is formed by the intersection of the lower lines on the right side of the quadrilateral. ### Problem-Solving Steps: - Use the properties of linear pairs and angles around a point to determine the measure of angle 'x'. - Angles on a straight line add up to 180 degrees. By solving this, the relationship between these angles can be used to find the unknown angle 'x'.
Transcribed Image Text:**Solve for x.** This diagram shows a complex geometric figure with several intersecting lines. The angles marked on the figure are 130 degrees, 80 degrees, and 70 degrees. The angle marked with a variable is represented by 'x'. ### Diagram Explanation: - The angle on the top left, outside the central quadrilateral, is 130 degrees. - Within the quadrilateral, the angle at the bottom left is 80 degrees. - The angle at the bottom right, adjacent to angle 'x', is 70 degrees. - Angle 'x' is formed by the intersection of the lower lines on the right side of the quadrilateral. ### Problem-Solving Steps: - Use the properties of linear pairs and angles around a point to determine the measure of angle 'x'. - Angles on a straight line add up to 180 degrees. By solving this, the relationship between these angles can be used to find the unknown angle 'x'.
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