Chapter 2.1, Problem 31E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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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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