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Chapter 3: Q16 (page 76)

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

or corresponding angles

and

Short Answer

Expert verified

and are 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

It can be observed that ∠ HCBand∠ CBJare on the same sides of the transversal BC↔.

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

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

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