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D (7y + 6)° 116° F E

D (7y + 6)° 116° F E

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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Use the diagram below to find the value of y as well as the measure of angle C and angle D

 

The image depicts a triangle \( \triangle CDE \) and a line \( EF \) extending from \( E \). - The angle at vertex \( C \) is labeled as \( 4y^\circ \). - The angle at vertex \( D \) of the triangle is labeled as \( (7y + 6)^\circ \). - The angle at \( E \), which is exterior to \( \triangle CDE \), is a linear angle with a measure of \( 116^\circ \). This diagram can be used to explore relationships between interior and exterior angles of triangles, and to solve for \( y \) using the properties of angles and linear pairs.
Transcribed Image Text:The image depicts a triangle \( \triangle CDE \) and a line \( EF \) extending from \( E \). - The angle at vertex \( C \) is labeled as \( 4y^\circ \). - The angle at vertex \( D \) of the triangle is labeled as \( (7y + 6)^\circ \). - The angle at \( E \), which is exterior to \( \triangle CDE \), is a linear angle with a measure of \( 116^\circ \). This diagram can be used to explore relationships between interior and exterior angles of triangles, and to solve for \( y \) using the properties of angles and linear pairs.
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