   Chapter 1.CR, Problem 46CR ### 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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# Write two-column proofs for Review Exercises 39 to 46. Given: ∠ 3 is supplementary to ∠ 5 ∠ 4 is supplementary to ∠ 6 Prove: ∠ 3 ≅ ∠ 6 . To determine

To find:

The two-column proof for 36.

Explanation

Given:

The given diagram is,

Figure (1)

3 is supplementary to 5 and 4 is supplementary to 6.

Definition:

If the sum of two angles is 180°, then the angles are known as supplementary angles. Each angle in the pair is the supplement of the other angle.

Approach:

The reasons for given statements is explained in table below.

 Statements Reasons 1. ∠3 is supplementary to ∠5 1. Given 2. ∠4 is supplementary to ∠6 2. Given 3. ∠4≅∠5 3

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