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Chapter 3: Q5 (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 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 angles 3 and angles 6 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 ∠3and ∠6are alternate interior angles.

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Most popular questions from this chapter

If m∠1=130what are the measures of the other numbered angels?

Complete each statement with the word always, sometimes, or never.

Three lines intersecting in one point are coplanar

State the postulate or theorem that justifies each statement.

∠6≅∠7

Name the two lines and the transversal that form each pair of angles.

and

Use two lines of notebook paper as parallel lines and draw any

transversal. Use a protractor to measure

Measure one pair of corresponding angles. Repeat the experiment with another transversal. What appears to be true?
See all solutions

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