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Chapter 3: Q15 (page 76)

Classify each pair of angles as alternate interior, same side interior or corresponding angles

art

and

Short Answer

Expert verified

andare same side interior angles.

Step by step solution

01

Step 1. Observe the diagram

In the diagram the angles are mentioned by the alphabets A, B, C, D, E, F, G, H, J, K, L respectively.

02

Step 2. State the definition

Alternate interior angles: These are the two nonadjacent interior angles which are on the opposite sides of the transversal.

Same-side interior angles: These are the two interior angles which are on the same sides of the transversal.

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

03

Step 3. State the explanation

Consider the figure

art

It can be observed that are on the same side of the transversal respect to the transversal .

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

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Most popular questions from this chapter

Exercises 23 – 29 refer to the diagram in Step 2 of Exercise 22

Suppose the top and bottom of the box lie in parallel lines. Explain how theorem 3.1 can be used to prove CD¯ ∥ IJ¯.

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

and

State the postulate or theorem that justifies each statement.

∠6≅∠7

Exercises 23-29 refer to the diagram in step 2 of exercise 22.

Name four planes parallel toFL↔.

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

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