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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![**Exercise 7.2.3**
3. In Figure 7.10, consider triangle \( \triangle ABC \) where \( AB = AC \), \( AD = AE \), and \( \angle BAD = 30^\circ \). Find \( \angle CDE \).
**Diagram Explanation:**
The diagram shows a geometric figure with the following elements:
- Points labeled as \( A \), \( B \), \( C \), \( D \), and \( E \).
- \( \triangle ABC \) is an isosceles triangle with \( AB = AC \).
- Line segments \( AD \) and \( AE \) are congruent (\( AD = AE \)).
- The angle \( \angle BAD \) is marked as \( 30^\circ \).
- The task is to find the angle \( \angle CDE \).
The solution involves understanding the properties of isosceles triangles and the given congruencies.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad4ca8bb-6fc2-4881-9132-73064896bc20%2Fe8e7486f-2e9b-4616-8a17-ec6f5910d381%2Frdb8i6e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Exercise 7.2.3**
3. In Figure 7.10, consider triangle \( \triangle ABC \) where \( AB = AC \), \( AD = AE \), and \( \angle BAD = 30^\circ \). Find \( \angle CDE \).
**Diagram Explanation:**
The diagram shows a geometric figure with the following elements:
- Points labeled as \( A \), \( B \), \( C \), \( D \), and \( E \).
- \( \triangle ABC \) is an isosceles triangle with \( AB = AC \).
- Line segments \( AD \) and \( AE \) are congruent (\( AD = AE \)).
- The angle \( \angle BAD \) is marked as \( 30^\circ \).
- The task is to find the angle \( \angle CDE \).
The solution involves understanding the properties of isosceles triangles and the given congruencies.
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