   Chapter 2.1, Problem 31E ### 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

# Suppose that two lines are cut by a transversal in such a way that the pairs of corresponding angles are not congruent. Can those two lines be parallel?

To determine

If the two lines are cut by a transversal in such a way that the pairs of corresponding angles are not congruent, then those two lines can be parallel or not.

Explanation

Postulate:

If two parallel lines are cut by a transversal, then the pair of corresponding angles are congruent.

Approach:

If two lines are cut by a transversal in such a way that the corresponding angles are not congruent, then to check whether those lines can be parallel or not.

Since if two parallel lines are cut by a transversal, then the corresponding angles are congruent by postulate...

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