### Geometry Exercise: Identifying Corresponding Angles#### Question:**Name the corresponding angle to angle 2.**#### Diagram:Two parallel lines, labeled $ N $ and $ M $, are intersected by a transversal line labeled $ L $. This setup forms eight angles, which are numbered as follows:* On the top left of the intersection: Angle 7* Directly below angle 7: Angle 8* On the top right of the intersection: Angle 1* Directly below angle 1: Angle 2* Inside the intersection on the left, adjacent to angle 7: Angle 5* Directly below angle 5: Angle 6* Inside the intersection on the right, adjacent to angle 1: Angle 3* Directly below angle 3: Angle 4The angles formed are paired as corresponding angles when a transversal intersects two parallel lines.#### Answer Choices:- **A. Angle 1**- **B. Angle 3**- **C. Angle 4**- **D. Angle 6**#### Explanation:To determine the corresponding angle of angle 2, look for the angle that occupies the same relative position at the other intersection. Angle 2 is in the lower-right quadrant formed by the transversal with the parallel lines. The corresponding angle to Angle 2 in the same relative position at the intersection formed by the transversal but with the parallel lines at the top intersection is **Angle 6**.#### Correct Answer:**D. Angle 6**By understanding and identifying corresponding angles, students can better grasp the properties of parallel lines and transversals in geometry.

The objective is to name the corresponding angle with angle 2.

Answered: N. Name the L corresponding angle with…

Math

Geometry

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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