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Chapter 3: Q39. (page 115)

If two parallel lines are cut by a transversal, then alternate interior angles are _?_.

Short Answer

Expert verified

If two parallel lines are cut by a transversal, then alternate interior angles arecongruent.

Step by step solution

01

Step 1. Consider the following diagram.

02

Step 2. Find the theorem or postulate that can be used.

If the two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

03

Step 3. Use the theorem.

m||nand the transversal l cuts the two parallel lines m and n.

The interior alternative angles are鈭�1 and鈭�2.

Hence, 鈭�1鈮�鈭�2, that is, they are congruent.

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Most popular questions from this chapter

Complete each statement with the word always, sometimes, or never. A line in the plane of the ceiling and a line in the plane of the floor are parallel.

Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

and

Name five lines parallel to plane ABCD

Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

and

Draw each figure described.

Lines d and e are skew, lines e and f are skew, and d鈯�f.
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