Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

In Exercises 32 and 33, use the diagram.
Which numbered angles have the same measure as $∠ 1$ ? Explain your reasoning.

$m ∠ 1 = m ∠ 3 = m ∠ 4 = m ∠ 7$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The figure is shown below.

Step 2. Concept Used.

In the parallel line and its transversal corresponding angles are equal, vertically opposite angles are equal and also alternate exterior angles are equal.

Step 3. Explanation.

In the diagram,

$m ∠ 1 = m ∠ 3$ (Vertically opposite angles)

$m ∠ 1 = m ∠ 4$ (Corresponding angles)

$m ∠ 1 = m ∠ 7$ (Alternate exterior angles)

Thus, $m ∠ 1 = m ∠ 3 = m ∠ 4 = m ∠ 7$ .

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Pre-algebra

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Short Answer

In Exercises 32 and 33, use the diagram.
Which numbered angles have the same measure as $∠ 1$ ? Explain your reasoning.

Step by Step Solution

Step 1. Given Information.

Step 2. Concept Used.

Step 3. Explanation.

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In Exercises 32 and 33, use the diagram.Which numbered angles have the same measure as ∠1? Explain your reasoning.

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In Exercises 32 and 33, use the diagram.
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