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Chapter 2: Q4 (page 46)

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

m鈭�3+m鈭�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 鈭�3and 鈭�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

Find the measures of a complement and a supplement of 鈭�K.

m鈭�K=2y

a. Suppose M and N are the midpoints ofLK鈫�andGH鈫� respectively. State which segments are congruent.

b. State the additional information about the figure that will enable a person to deduce LM=NH.

Two supplementary angles are congruent. Find their measures.

Write each biconditional as two conditionals that are converses of each other.

Points are collinear if and only if they all lie in one line.

Find the value of x and y for each diagram.
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