Math Problem Statement
Which of these angles are linear pairs?
Solution
In the new diagram, the angles 1 through 5 are formed by the intersection of lines , , and .
To identify linear pairs, recall that they consist of two adjacent angles whose non-common sides form a straight line (i.e., their sum is 180 degrees).
Linear Pairs in the Diagram:
- Angles 1 and 2: They are adjacent and together form a straight line along line . Thus, they are a linear pair.
- Angles 2 and 3: These angles are adjacent and form a straight line along line . Therefore, they are a linear pair.
- Angles 3 and 4: These angles are adjacent and form a straight line along line . Hence, they are a linear pair.
- Angles 4 and 5: These angles are adjacent and form a straight line along line . Therefore, they are a linear pair.
Summary:
- Linear Pairs:
- Angles 1 and 2
- Angles 2 and 3
- Angles 3 and 4
- Angles 4 and 5
Do you have any further questions or need more details?
Here are some related questions:
- How does the concept of supplementary angles relate to linear pairs?
- Can three angles form a linear pair? Why or why not?
- If angle 2 is 70 degrees, what is the measure of angle 1?
- How do linear pairs differ from vertically opposite angles?
- Can angles 1 and 3 ever form a linear pair?
Tip: Linear pairs are always adjacent and share a common side. Identifying the straight line they form can help determine if they are a linear pair.
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Math Problem Analysis
Mathematical Concepts
Geometry
Angles
Formulas
-
Theorems
Linear pairs of angles
Suitable Grade Level
Grades 6-8
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