   Chapter 2.CR, Problem 40CR ### 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
1 views

# Given: ∠ 1 ≅ ∠ 3 Prove: m ∥ n To determine

To prove:

Line m is not parallel to line n.

Explanation

Given:

1 is not congruent to 3.

Figure (1)

Idea used:

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

(2) Vertically opposite angles are congruent.

Approach:

1 is not congruent to 3.

Assume mn.

So,

12

2 and 3 are vertically opposite angles

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