   Chapter 2.3, Problem 17E ### 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 17 and 18 , complete each proof by filling in the missing statements and reasons. Given: ∠ 1 and ∠ 2 are complementary ∠ 3 and ∠ 1 are complementary Prove: B C ¯ ∥ D E ¯ To determine

To check:

The given statement.

Explanation

Given:

The given statement is;

3 and 1 are complementary.

1 and 2 are complementary.

Figure (1)

Approach:

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

(2) Complementary angles add up to 90°

Approach:

The given statement is;

3 and 1 are complementary.

m3+m1=90°m3=90°m1

1 and 2 are complementary.

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