Math Problem Statement
Which of these angles form a linear pair?
Solution
In the provided image, angles are labeled 1 through 6, positioned at the origin with the angles formed between intersecting lines.
A linear pair consists of two adjacent angles whose non-common sides form a straight line, meaning they sum to 180 degrees.
Identifying Linear Pairs:
- Angles 2 and 3: These angles are adjacent and their sides combine to form a straight line. Hence, they form a linear pair.
- Angles 4 and 5: These angles are adjacent and also combine to form a straight line, so they form another linear pair.
Summary:
- Linear Pairs:
- Angles 2 and 3
- Angles 4 and 5
Would you like any further details or explanations?
Here are some related questions:
- What is the sum of the angles in a linear pair?
- How can you identify a linear pair from an angle diagram?
- Why do linear pairs always sum to 180 degrees?
- Can angles 1 and 4 form a linear pair? Why or why not?
- How do vertical angles relate to linear pairs?
Tip: Remember that linear pairs are always supplementary, meaning they add up to 180 degrees.
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Math Problem Analysis
Mathematical Concepts
Geometry
Angles
Linear Pair
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8