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Chapter 10: Problem 70

If two parallel lines are intersected by a transversal, describe the location of the alternate interior angles, the alternate exterior angles, and the corresponding angles.

Short Answer

Expert verified
Alternate interior angles are located between the two parallel lines, on opposite sides of the transversal. Alternate exterior angles are outside the parallel lines, on opposite sides of the transversal. Corresponding angles are on the same side of the transversal, with one inside the parallel lines and one outside.

Step by step solution

01

Identifying Alternate Interior Angles

Alternate interior angles are located between the two parallel lines, on opposite sides of the transversal. Thus, there are two pairs of alternate interior angles in this situation.
02

Identifying Alternate Exterior Angles

Alternate exterior angles are located outside the two parallel lines, on opposite sides of the transversal. As with the alternate interior angles, there are two pairs of alternate exterior angles.
03

Identifying Corresponding Angles

Corresponding angles are located on the same side of the transversal, with one inside the parallel lines and one outside. There are four pairs of corresponding angles in this configuration.

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