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Chapter 2: Q3 (page 45)

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

m∠AEB+m∠BEF=180

Short Answer

Expert verified

The definition of 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 straight-line AEF and two other lines meet the line AEF at point E.

02

Step 2. State the definition of pair of Linear Angles.

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

03

Step 3. State the conclusion

Considering the given diagram and the statement m∠AEB+m∠BEF=180.

The definition that justifies the statement about the diagram is 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.

If EB→ is the bisector of ∠AEC, then m∠AEB=12m∠AEC .

Tell whether each statement is true or false. Then write converse and tell whether it is true or false.

Statement: If x=−6,thenx=6.

Justify each step.

4x−5=−24x=3x=34

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

If E is the midpoint of AF¯, then EC¯, bisects AF¯ .

Mention what can be deduced from the given information.

Given: AC¯bisects DB¯

DB¯bisects AC¯

CE=BE
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