**Problem 9:****Given:** - ∠5 and ∠16 are supplementary- ∠2 ≅ ∠18**Prove:** - $ q \parallel r $**Activity:**Fill in the proof table with statements and reasons.**Diagram Explanation:**The diagram shows a set of parallel lines intersected by transversals, creating multiple angles. The lines are labeled as follows:- $ p $, $ q $, $ r $, and $ s $ encompass the main lines with $ q $ and $ r $ being the focus to prove parallel.- $ t $ is below line $ r $, and line $ s $ is parallel to $ t $.The angles are numbered from 1 to 24, positioned in order to represent various angle relationships resulting from the intersection of these lines and transversals. **Proof Table:**| Statements | Reasons ||------------|---------|| | || | || | |

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Description: **Problem 9:****Given:** - ∠5 and ∠16 are supplementary- ∠2 ≅ ∠18**Prove:** - $ q \parallel r $**Activity:**Fill in the proof table with statements and reasons.**Diagram Explanation:**The diagram shows a set of parallel lines intersected by transv

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Answered: Given: 25 and Z16 are supplementary, 2…

Math

Geometry

Given: 25 and Z16 are supplementary, 2 = Z18 1/2 5 6 Prove: q || r 4. 3. 8 7. 10 13 14 12/11 16 15 17/18 19 20 21 /22 23 24 Statements Reasons

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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Topic Video

Question

**Problem 9:**

**Given:**
- ∠5 and ∠16 are supplementary
- ∠2 ≅ ∠18

**Prove:**
- $ q \parallel r $

**Activity:**

Fill in the proof table with statements and reasons.

**Diagram Explanation:**

The diagram shows a set of parallel lines intersected by transversals, creating multiple angles. The lines are labeled as follows:
- $ p $, $ q $, $ r $, and $ s $ encompass the main lines with $ q $ and $ r $ being the focus to prove parallel.
- $ t $ is below line $ r $, and line $ s $ is parallel to $ t $.

The angles are numbered from 1 to 24, positioned in order to represent various angle relationships resulting from the intersection of these lines and transversals.

**Proof Table:**

| Statements | Reasons |
|------------|---------|
| | |
| | |
| | |

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