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.

Answered: Image /qna-images/answer/6b628399-17ec-4a9e-9589-abba82f9bed0.jpg

Answered: D (7y + 6)° 116° F E

Math

Geometry

D (7y + 6)° 116° F E

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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Question

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.

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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