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Chapter 3: Q15 (page 76)

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

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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

It can be observed that ∠ FCLand∠ BLCare on the same side of the transversal respect to the transversal CL↔.

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

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Most popular questions from this chapter

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

and

Find the values of xand y

Copy and complete the proof of Theorem 3-4. Given: Transversal tcuts Iand n;

t⊥l;l∥n

Prove: t⊥n

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

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