B 30° D E Figure 7.10. Exercise 7.2.3 3. In Figure 7.10, consider triangle AABC where AB = 30°. Find ZCDE. AC, AD = AE and ZBAD =

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.
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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