Answer is implied by the full question! **Use the diagram at the right for 25 and 26.****26. Given: $ \overline{CD} \parallel \overline{EF} $**- **Name a pair of congruent angles and state the reason why.****27. Given: $ \overline{CD} \parallel \overline{EF} $**- **Name a pair of supplementary angles and state the reason why.**---**Diagram Explanation:**The diagram features a triangle with a vertical line $ \overline{CD} $ and a horizontal line $ \overline{EF} $ parallel to each other. Lines $ \overline{CD} $ and $ \overline{EF} $ intersect a third line. The angles formed at the intersection of these lines are labeled 1, 2, 3 at point C and 4, 5 at point F respectively.1. **Angles Formed:** - Angle 1 is formed by the extension of line $ \overline{CD} $. - Angle 2 and 3 are interior angles between lines $ \overline{CD} $ and the transversal. - Angles 4 and 5 are likewise formed between $ \overline{EF} $ and the transversal.2. **Parallel Line Properties:** - Since $ \overline{CD} \parallel \overline{EF} $, angle relationships such as corresponding angles, alternate interior angles, and supplementary angles can be identified.This setup allows for identifying congruent and supplementary angles based on these geometric principles.

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Description: Answer is implied by the full question! **Use the diagram at the right for 25 and 26.****26. Given: $ \overline{CD} \parallel \overline{EF} $**- **Name a pair of congruent angles and state the reason why.****27. Given: \( \overline{CD} \parallel \o

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Use the diagram at the right for 25 and 26. 26. Given: CD || EF Name a pair of congruent angles and state the reason why. 2 E CD || EF 27. Given: Name a pair of supplementary angles and state the reason why.

Use the diagram at the right for 25 and 26. 26. Given: CD || EF Name a pair of congruent angles and state the reason why. 2 E CD || EF 27. Given: Name a pair of supplementary angles and state the reason why.

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

Answer is implied by the full question!

**Use the diagram at the right for 25 and 26.**

**26. Given: $ \overline{CD} \parallel \overline{EF} $**

- **Name a pair of congruent angles and state the reason why.**

**27. Given: $ \overline{CD} \parallel \overline{EF} $**

- **Name a pair of supplementary angles and state the reason why.**

---

**Diagram Explanation:**

The diagram features a triangle with a vertical line $ \overline{CD} $ and a horizontal line $ \overline{EF} $ parallel to each other. Lines $ \overline{CD} $ and $ \overline{EF} $ intersect a third line. The angles formed at the intersection of these lines are labeled 1, 2, 3 at point C and 4, 5 at point F respectively.

1. **Angles Formed:**
- Angle 1 is formed by the extension of line $ \overline{CD} $.
- Angle 2 and 3 are interior angles between lines $ \overline{CD} $ and the transversal.
- Angles 4 and 5 are likewise formed between $ \overline{EF} $ and the transversal.

2. **Parallel Line Properties:**
- Since $ \overline{CD} \parallel \overline{EF} $, angle relationships such as corresponding angles, alternate interior angles, and supplementary angles can be identified.

This setup allows for identifying congruent and supplementary angles based on these geometric principles.

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