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Chapter 3: Q9 (page 75)

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

and

Short Answer

Expert verified

and forms a pair of alternate interior angles.

Step by step solution

01

Step 1. Alternate interior angles

These are the two non-adjacent interior angles which are on the opposite sides of the transversal.

02

Step 2. Same-side interior angles

These are the two interior angles which are on the same sides of the transversal.

03

Step 3. Corresponding angles

These are the two angles which relative to the two lines are in the corresponding position.

04

Step 4. Classify angle 7 and angle 12 as a pair of any of three angles.

From above figure, observe that and are two non-adjacent interior angles which are on the opposite sides of the transversal

Thus, by using the above definitions, it can be said that and are alternate interior angles.

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