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Answered: diagram below, u || v and v || w.…

Math

Geometry

diagram below, u || v and v || w. Calculate the angle measure of angle j.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter12: Angle Relationships And Transformations

Section12.2: Angles And Parallel Lines

Problem 13E

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Concept explainers

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.

Question

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Expert Solution

Step 1

Given Data:

Parallel lines: $u ∥ v$ & $v ∥ w$

The lines u, v and w are parallel to each other. A transverse line is intersecting each line as showing in the given figure.

Because of transversal, eight angles are produced as each intersection.

The corresponding angles are the angles having the same position at the different intersection of a transverse line and parallel lines. The corresponding angles are congruent angles. For example, n and e is a pair of corresponding angles.

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$Types of Angles$

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