   Chapter 2.3, Problem 16E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercise 7 to 16, name the lines (if any) that must be parallel under the given conditions. The bisectors of ∠ 9 and ∠ 21 are parallel.

To determine

To find:

The parallel lines.

Explanation

Given:

The given statement is,

The bisectors of 9 and 21 are parallel.

Approach:

(1) If two lines are cut by a transversal so that two corresponding angles are congruent, then these lines are parallel.

(2) If two parallel lines are cut by a transversal, then the pairs of corresponding angles on the same side of the transversal are supplementary.

Calculation:

The given statement is,

The bisectors of 9 and 21 are parallel.

Lines a and b are bisectors of 9 and 21 respectively.

Line a bisects 9 into w and x.

Line b bisects 21 into z and y.

Lines a and b are parallel and cut by transversal m

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