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Chapter 3: Q13 (page 87)

In each exercise some information is given. Use this information to name the segments that must be parallel. If there are no such segments, write none.

∠2and ∠3are complementary and m∠1=90.

Short Answer

Expert verified

The required segments areAF¯ and BC¯.

Step by step solution

01

Step 1. Definition of complementary angles

According to the definition of complementary angles are referred as those angles which are having a measurement of 90°when they are added.

02

Step 2. Use the definition of complementary angles

Determine the measurement of provided two angles.

∠2+∠3=90°

03

Step 3. Write the method that can be used

The angles present inside of a figure can be equal to each other only when a separate line travels through two lines which are having a parallel relation between them.

04

Step 4. Make the conclusion

According to the figure the parallel lines are AF and BC along with this the separate line that travels through these lines is AB. The angles present in the interior of these lines are the provided angles so the segments AF and BC are the required segments.

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