Chapter 2.CT, Problem 1CT

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Consider the figure shown at the right.a) Name the angle that corresponds to ∠ 1 .b) Name the alternate interior for ∠ 6 .

To determine

a)

To find:

The angle corresponds to 1 in the given figure.

Solution:

The 5 is corresponds to 1.

Explanation

Given:

The following figure shows the given diagram.

Calculation:

The angles that lie in the same relative positions are called corresponding angles for the given lines. Therefore, 5 and 1 lie in the same relative positions about the transversal. Therefore, 5 corresponds to 1.

Conclusion:

Hence, 5 corresponds to 1.

To determine

b)

To find:

The alternate interior angle for 6.

Solution:

The alternate interior angle for 6 is 3.

Explanation

Given:

The following figure shows the given diagram.

Calculation:

Alternate interior angles are that angles which have different vertices and lie on the opposite side of the traverse. 6 and 3 have different vertices and lie on the opposite side of the transverse. Therefore, the alternate interior angle for 6 is 3.

Conclusion:

Hence, the alternate interior angle for 6 is 3.

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