Chapter 3: Q7 (page 75)

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

Short Answer

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and forms a pair of corresponding angles.

Step by step solution

Step 1. Alternate interior angles

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

Step 2. Same-side interior angles

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

Step 3. Corresponding angles

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

Step 4. Classify angles 2 and angles 10 as a pair of any of three angles.

From above figure, observe that and are in the corresponding position.

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

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Statement	Reason
1. $k ∥ l$	Given
2. $∠ 3 ≅ ∠ 2$	If two parallel lines are cut by transversal then alt. int. $∠ s$ are $≅$
3. $∠ 1 ≅ ∠ 3$	Vert. $∠ s$ are $≅$
4. $∠ 1 ≅ ∠ 2$	Transitive Property

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

Short Answer

Step by step solution

Step 1. Alternate interior angles

Step 2. Same-side interior angles

Step 3. Corresponding angles

Step 4. Classify angles 2 and angles 10 as a pair of any of three angles.

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

Short Answer

Step by step solution

Step 1. Alternate interior angles

Step 2. Same-side interior angles

Step 3. Corresponding angles

Step 4. Classify angles 2 and angles 10 as a pair of any of three angles.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Discrete Mathematics

Calculus

Statistics

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

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