Given ASTU and ADEF, what is TmZE ? 15 10 29 D.

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
**Given ΔSTU and ΔDEF, what is m∠E?**

**Diagram Analysis:**
- The diagram shows two triangles, ΔSTU and ΔDEF.
- In triangle ΔSTU:
  - Leg lengths are ST = 15, TU = 10, and SU = 20.
  - Angle ∠S is 29°.
- In triangle ΔDEF:
  - Leg lengths are EF = 4, FD = 8, and DE = 6.
  - Angle ∠F is 105°.

m∠E = [Input Field]

**Answer Choices:**
- 46
- 105
- 29
- Can’t be determined

In the provided diagram for ΔSTU and ΔDEF, ΔSTU has labeled sides and one given angle, whereas ΔDEF has measurements and an angle labeled adjacent to ∠E.

**Explanation of Graphs/Diagrams:**
- ΔSTU: A large triangle with one marked interior angle (∠S = 29°) and side lengths ST=15, TU=10, and SU=20.
- ΔDEF: A smaller, closer-to-rectangle triangle with side lengths shown as EF=4, FD=8, and DE=6. ∠F is marked as 105° with an arc symbol indicating the angle.
Transcribed Image Text:**Given ΔSTU and ΔDEF, what is m∠E?** **Diagram Analysis:** - The diagram shows two triangles, ΔSTU and ΔDEF. - In triangle ΔSTU: - Leg lengths are ST = 15, TU = 10, and SU = 20. - Angle ∠S is 29°. - In triangle ΔDEF: - Leg lengths are EF = 4, FD = 8, and DE = 6. - Angle ∠F is 105°. m∠E = [Input Field] **Answer Choices:** - 46 - 105 - 29 - Can’t be determined In the provided diagram for ΔSTU and ΔDEF, ΔSTU has labeled sides and one given angle, whereas ΔDEF has measurements and an angle labeled adjacent to ∠E. **Explanation of Graphs/Diagrams:** - ΔSTU: A large triangle with one marked interior angle (∠S = 29°) and side lengths ST=15, TU=10, and SU=20. - ΔDEF: A smaller, closer-to-rectangle triangle with side lengths shown as EF=4, FD=8, and DE=6. ∠F is marked as 105° with an arc symbol indicating the angle.
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