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What kind of angles are 3 and 7? 3 N L

What kind of angles are 3 and 7? 3 N L

Elementary Geometry For College Students, 7e
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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**Introduction to Transversals** --- ### What Kind of Angles are 3 and 7? **Diagram Explanation:** The diagram in the image shows two parallel lines, identified as lines MN and L (the name of this line segment isn't fully visible from the image). These two lines are intersected by another line (a transversal). Specifically, the diagram highlights angle 3 on line MN and angle 7 on line L. The two angles are positioned on either side of the transversal and outside of the parallel lines. **Question:** What kind of angles are 3 and 7? **Answer Choices:** A. Corresponding B. Alternate Exterior C. Same Side Exterior **Explanation of Answer Choices:** 1. **Corresponding Angles:** - Corresponding angles are found in matching corners when two lines are crossed by another line (the transversal). For example, if one angle is on the top left of the intersection, the corresponding angle is located on the same side of the transversal, on the other parallel line. 2. **Alternate Exterior Angles:** - Alternate exterior angles are on opposite sides of the transversal and outside the parallel lines. They are congruent to each other when the lines are parallel. 3. **Same Side Exterior Angles:** - Same side exterior angles are on the same side of the transversal and outside the parallel lines. They are supplementary when the lines are parallel. In this specific case, angles 3 and 7 are **alternate exterior angles** because they are on opposite sides of the transversal and located outside of the parallel lines MN and L. **Answer:** B. Alternate Exterior --- **Copyright © 2003 - 2021 Acellus Corporation. All Rights Reserved.** This image and its content are presented by Acellus Corporation, providing educational resources and learning tools.
Transcribed Image Text:**Introduction to Transversals** --- ### What Kind of Angles are 3 and 7? **Diagram Explanation:** The diagram in the image shows two parallel lines, identified as lines MN and L (the name of this line segment isn't fully visible from the image). These two lines are intersected by another line (a transversal). Specifically, the diagram highlights angle 3 on line MN and angle 7 on line L. The two angles are positioned on either side of the transversal and outside of the parallel lines. **Question:** What kind of angles are 3 and 7? **Answer Choices:** A. Corresponding B. Alternate Exterior C. Same Side Exterior **Explanation of Answer Choices:** 1. **Corresponding Angles:** - Corresponding angles are found in matching corners when two lines are crossed by another line (the transversal). For example, if one angle is on the top left of the intersection, the corresponding angle is located on the same side of the transversal, on the other parallel line. 2. **Alternate Exterior Angles:** - Alternate exterior angles are on opposite sides of the transversal and outside the parallel lines. They are congruent to each other when the lines are parallel. 3. **Same Side Exterior Angles:** - Same side exterior angles are on the same side of the transversal and outside the parallel lines. They are supplementary when the lines are parallel. In this specific case, angles 3 and 7 are **alternate exterior angles** because they are on opposite sides of the transversal and located outside of the parallel lines MN and L. **Answer:** B. Alternate Exterior --- **Copyright © 2003 - 2021 Acellus Corporation. All Rights Reserved.** This image and its content are presented by Acellus Corporation, providing educational resources and learning tools.
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