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Chapter 3: Q12. (page 112)

In the diagram for Exercise 11, explain why EBand DFmust be parallel.

Short Answer

Expert verified

EB andDF are parallel to each other becausethey form a pair of alternate interior angles, same side interior angles and corresponding angles.

Step by step solution

01

Step 1. Description of step.

From the given figure it can be observed that∠EBC and∠2 are equal in measure and they form a pair of alternate angles which implies thatEB andDF are parallel to each other.

02

Step 2. Description of step.

From the given figure it can be observed that∠1 and∠2 are equal in measure and they form a pair of same side interior angles which implies thatEB andDF are parallel to each other.

03

Step 3. Description of step.

From the given figure it can be observed that∠3 and∠5are equal in measure and they form a pair of corresponding angles which implies thatEBandDFare parallel to each other.

Therefore, EBandDFare parallel to each other because they form a pair of alternate interior angles, same side interior angles and corresponding angles.

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