Angle c is supplementary to which angles? 12 4 A. 1 and 2 B. 2 and 3 С. З and 4 D. and

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
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**Intro to Parallel Lines**

**Angle c is supplementary to which angles?**

[Image Description: The diagram shows two parallel lines intersected by a transversal. The angles formed are labeled 1, 2, 3, and 4 around the points of intersections.]

**Options:**
- A. 1 and 2
- B. 2 and 3
- C. 3 and 4
- D. 1 and 4

**Explanation:**

In the given diagram, two parallel lines are intersected by a transversal, creating eight angles in total. The angle labeled as "c" is one of the interior angles formed between the two parallel lines and on the same side of the transversal. The concept of supplementary angles involves pairs of angles whose measures add up to 180 degrees.

Supplementary angles occur in the following ways:
- When two angles form a linear pair.
- When they are consecutive interior angles on the same side of the transversal.

Understanding which angles are supplementary can help you solve this problem. Review the properties of supplementary angles with parallel lines and a transversal to determine the correct answer from the given options.

**Note:**
This question belongs to the Acellus program, which is an established educational platform offering a wide range of curriculum content.
Transcribed Image Text:**Intro to Parallel Lines** **Angle c is supplementary to which angles?** [Image Description: The diagram shows two parallel lines intersected by a transversal. The angles formed are labeled 1, 2, 3, and 4 around the points of intersections.] **Options:** - A. 1 and 2 - B. 2 and 3 - C. 3 and 4 - D. 1 and 4 **Explanation:** In the given diagram, two parallel lines are intersected by a transversal, creating eight angles in total. The angle labeled as "c" is one of the interior angles formed between the two parallel lines and on the same side of the transversal. The concept of supplementary angles involves pairs of angles whose measures add up to 180 degrees. Supplementary angles occur in the following ways: - When two angles form a linear pair. - When they are consecutive interior angles on the same side of the transversal. Understanding which angles are supplementary can help you solve this problem. Review the properties of supplementary angles with parallel lines and a transversal to determine the correct answer from the given options. **Note:** This question belongs to the Acellus program, which is an established educational platform offering a wide range of curriculum content.
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