Chapter 3: Q14 (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.
$m ∠ 2 + m ∠ 3 = m ∠ 4$

Short Answer

Expert verified

The obtained conclusion is none.

Step by step solution

Step 1. Determine whether any postulate or theorem can be used or not

The provided information and figure does not indicate towards any theorem or postulate that can be used.

Step 2. Observe the provided figure

The provided measurement of angles does not indicate towards any parallel segments because the provided information does not fulfill the requirement that is for the determination of the lines that are having parallel relation between them.

Step 3. Make the conclusion

There are no segments available that are associated with the provided angles.

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Statement	Reason
1. $k ∥ l$	Given
2. $∠ 3 ≅ ∠ 2$	If two parallel lines are cut by transversal then alt. int. $∠ s$ are $≅$
3. $∠ 1 ≅ ∠ 3$	Vert. $∠ s$ are $≅$
4. $∠ 1 ≅ ∠ 2$	Transitive Property

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.
$m ∠ 2 + m ∠ 3 = m ∠ 4$

Short Answer

Step by step solution

Step 1. Determine whether any postulate or theorem can be used or not

Step 2. Observe the provided figure

Step 3. Make the conclusion

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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.m∠2+m∠3=m∠4

Short Answer

Step by step solution

Step 1. Determine whether any postulate or theorem can be used or not

Step 2. Observe the provided figure

Step 3. Make the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

Geometry

Statistics

Mechanics Maths

Calculus

Study anywhere. Anytime. Across all devices.

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.
$m ∠ 2 + m ∠ 3 = m ∠ 4$