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Chapter 3: Q14 (page 76)

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

and

Short Answer

Expert verified

and are alternate 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

It can be observed that ∠ FCBand∠ CBLare two nonadjacent interior angles which are on the opposite sides of the transversal BC↔.

Thus, by using the above definitions, it can be said that ∠ FCBand∠ CBLare alternate interior angles.

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Most popular questions from this chapter

If m∠5=m∠6+20, find m∠1

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

transversal. Use a protractor to measure

Measure one pair of same side interior angles. Repeat the experiment with another transversal. What appears to be true?

Name several lines skew to

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¯.

Name two coplanar segments that do not intersect and yet are not parallel.
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