Q4 State which definition, postulat... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

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

Step 1. Observe the given diagram.

The diagram constitutes a triangle ABC.

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.

Step 3. State the conclusion.

Considering the given diagram here $鈭� 3$ and $鈭� 4$ form 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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Statements	Reasons
1. $\overset{鈫�}{O A} 鈯� \overset{鈫�}{O C}$	1. _________
2. $m 鈭� A O C = 90$	2. Def. of $鈯�$ lines
3. $m 鈭� A O B + m 鈭� B O C = m 鈭� A O C$	3._________
4. _________	4. Substitution Prop.
5. _________	5. Def. of comp. $鈭� s$

91影视

State which definition, postulate, or theorem justifies the statement about the diagram.
$m 鈭� 3 + m 鈭� 4 = 180$

Short Answer

Step by step solution

Step 1. Observe the given diagram.

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

Step 3. State the conclusion.

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91影视

State which definition, postulate, or theorem justifies the statement about the diagram.m鈭�3+m鈭�4=180

Short Answer

Step by step solution

Step 1. Observe the given diagram.

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

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Calculus

Applied Mathematics

Logic and Functions

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

State which definition, postulate, or theorem justifies the statement about the diagram.
$m 鈭� 3 + m 鈭� 4 = 180$