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:

  1. What is the sum of the angles in a linear pair?
  2. How can you identify a linear pair from an angle diagram?
  3. Why do linear pairs always sum to 180 degrees?
  4. Can angles 1 and 4 form a linear pair? Why or why not?
  5. 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