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Q16

Expert-verified

Geometry

Found in: Page 76

Book edition Student Edition

Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages 227 pages

ISBN 9780395977279

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Short Answer

Classify each pair of angles as alternate interior, same side interior
or corresponding angles
and

and are same side interior angles.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Observe the diagram

In the diagram the angles are mentioned by the alphabets A, B, C, D, E, F, G, H, J, K, L respectively.

Step 2. State the definition

Alternate interior angles: These are the two nonadjacent interior angles which are on the opposite sides of the transversal.

Same-side interior angles: These are the two interior angles which are on the same sides of the transversal.

Corresponding angles: These are the two angles which relative to the two lines are in the corresponding position.

Step 3. State the explanation

Consider the figure

It can be observed that $∠ H C B and ∠ C B J$ are on the same sides of the transversal $\overset{\leftrightarrow}{B C}$ .

.Thus, by using the above definitions, it can be said that $∠ H C B and ∠ C B J$ are Same side interior angles.

Most popular questions for Math Textbooks

If $m ∠ 4 = 2 m ∠ 3$ find $m ∠ 6$

Use two lines of notebook paper as parallel lines and draw any

transversal. Use a protractor to measure

Measure one pair of same side interior angles. Repeat the experiment with another transversal. What appears to be true?

Name the two lines and the transversal that form each pair of angles.

and

Name five lines parallel to plane ABCD

Classify each pair of angles as alternate interior angles, same-side interior angles, or corresponding angles.

and

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