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Chapter 2: Q4 (page 46)

State which definition, postulate, or theorem justifies the statement about the diagram.

m∠3+m∠4=180

Short Answer

Expert verified

The definition of a pair of Linear Angles justifies the statement about the diagram.

Step by step solution

01

Step 1. Observe the given diagram.

The diagram constitutes a triangle ABC.

02

Step 2. State the definition of a pair of linear angles.

When two lines intersect, two adjacent angles are formed. These adjacent angles are known as a linear pair and the sum of these two angles is 180.

03

Step 3. State the conclusion.

Considering the given diagram here ∠3and ∠4form a linear pair. So, the sum of these two angles is 180.

Therefore, the statement about the diagram is justified by the definition of a pair of linear angles.

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Most popular questions from this chapter

State which postulate, definition, or theorem justifies the statement about the diagram.

m∠AEB+m∠BEF=180

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The figure:
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