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Q19

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

Use two lines of notebook paper as parallel lines and draw any
transversal. Use a protractor to measure
Measure one pair of alternate interior angles. Repeat the experiment with another transversal. What appears to be true?

It appears to be true that alternate interior angles are equal.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Draw the diagram

Draw two parallel lines and two transversal lines as shown in the figure.

Step 2. State the definition

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

Step 3. Use the protractor

Use protractor to measure of the alternate interior angles in both cases. It can be observed that $∠ 1 = ∠ 2$ .

Hence, alternate interior angles are equal.

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