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Q6.

Expert-verified

Pre-algebra

Found in: Page 694

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

Tell whether the angles are corresponding, alternate, interior, or alternate exterior angles.
$∠ 2 and ∠ 7$

The angles $∠ 2$ and $∠ 7$ are alternate interior angles.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The provided angles are $∠ 2$ and $∠ 7$ .

Step 2. Definition of alternate interior angles.

When two lines are crossed by another line, it is known as transversal. The angles internal to the two parallel lines, in alternate corners of the transversal are called alternate interior angles.

Step 3. Explanation.

In the given figure, two parallel lines are intersected by a transversal. Since $∠ 2$ and $∠ 7$ are located inside the parallel lines and in opposite corners, $∠ 2$ and $∠ 7$ are alternate interior angles.

Step 4. Conclusion.

The angles $∠ 2$ and $∠ 7$ are alternate interior angles.

Most popular questions for Math Textbooks

The diagram shown is a side view of a chair designed in the 1930s. In the diagram, $m ∠ 1 = 95 °$ and $m ∠ 3 = 45 °$ . Tell whether the statement is true or false. Explain your reasoning.

$∠ 2$ and $∠ 3$ are corresponding angles.
$∠ 2$ and $∠ 3$ have equal measures.
$∠ 2$ and $∠ 3$ are complementary angles.
The sum of the measures of $∠ 1, ∠ 2$ and $∠ 3$ is $180 °$ .

Solve the equation by first clearing the fractions.

$\frac{1}{2} x + \frac{3}{4} = \frac{5}{6}$

Four exterior angles of a convex pentagon have measures $14 °$ , $87 °$ , $56 °$ , and $30 °$ . Find the measure of the fifth exterior angle.

Find $m ∠ 1$ .

In example 2, if you know only $m ∠ 6$ , can you find the measures of the other numbered angles? Explain.

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