21 is supplementary to 23. 2 is supplementary to 23 as well. Which of the following justifies 21 = 2? A. Definition of Vertical Angles В. Definition of Supplementary Angles С. Congruent Supplements Theorem D. Transitive Property of Equality

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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**Question:**

Use the figure below to solve the following question.

*Diagram:*

There is a diagram of two intersecting lines forming four angles. The angles are labeled as follows:

- Angle 1 is at the top left.
- Angle 2 is at the top right.
- Angle 3 is at the bottom.

**Problem Statement:**

∠1 is supplementary to ∠3. ∠2 is supplementary to ∠3 as well. Which of the following justifies ∠1 ≅ ∠2?

A. Definition of Vertical Angles  
B. Definition of Supplementary Angles  
C. Congruent Supplements Theorem  
D. Transitive Property of Equality  

The diagram shows intersecting lines with angles 1 and 2 on opposite sides of the intersection, forming supplementary pairs with angle 3. The task is to determine the theorem or property that justifies the congruency between angles 1 and 2.
Transcribed Image Text:**Question:** Use the figure below to solve the following question. *Diagram:* There is a diagram of two intersecting lines forming four angles. The angles are labeled as follows: - Angle 1 is at the top left. - Angle 2 is at the top right. - Angle 3 is at the bottom. **Problem Statement:** ∠1 is supplementary to ∠3. ∠2 is supplementary to ∠3 as well. Which of the following justifies ∠1 ≅ ∠2? A. Definition of Vertical Angles B. Definition of Supplementary Angles C. Congruent Supplements Theorem D. Transitive Property of Equality The diagram shows intersecting lines with angles 1 and 2 on opposite sides of the intersection, forming supplementary pairs with angle 3. The task is to determine the theorem or property that justifies the congruency between angles 1 and 2.
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