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Q2.

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Pre-algebra
Found in: Page 689
Pre-algebra

Pre-algebra

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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Illustration

Short Answer

What can you say about the measures of two vertical angles?

The measures of two vertical angles are equal.

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Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1. Given Information.

Two vertical angles.

Step 2. Explanation.

Vertical angles are angles that are formed opposite to each other when two lines intersect at a point.

In the above figure, the two lines intersect at a point to form four angles ∠1, ∠2, ∠3, and ∠4. Among the four angles, ∠1 and ∠3 are vertical angles and their measures are equal. Similarly, ∠2 and ∠4 are vertical angles and their measures are equal too.

Therefore, it can be said that the measures of two vertical angles are equal.

Most popular questions for Math Textbooks

In Exercises 6 and 7, use the given information to find m∠2.

∠1 and ∠2 are supplementary angles, and m∠1=160°.

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.

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

Tell whether the angles are corresponding, alternate, interior, or alternate exterior angles.

∠1 and ∠8

Tell whether the angles are complementary, supplementary, or neither.

m∠1=10°m∠2=70°

Use diagram shown.

  1. For ΔABC and ΔDEC, find the measure of each angle and the length of each side.
  2. How are ΔABC andΔDEC related? Explain your reasoning.
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