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Q7

Expert-verified

Geometry

Found in: Page 80

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

State the postulate or theorem that justifies each statement.
$∠ 6 ≅ ∠ 7$

Vertically opposite angles are congruent.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. First observation from figure

Arrowheads are shown on lines $I$ and $P$ , so these lines are parallel

Step 2. Second observation from figure

Line $t$ is transversal to the parallel lines $I$ and $P$

Step 3. Third observation from figure

$∠ 6$ and $∠ 7$ are vertically opposite angles.

As vertically opposite angles are congruent.

Thus, $∠ 6 ≅ ∠ 7$

Most popular questions for Math Textbooks

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

and

Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

and

State the postulate or theorem that justifies each statement.

$∠ 1 ≅ ∠ 5$

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

and

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?

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