Math Problem Statement

Which angles are adjacent to each other?

Solution

The question asks which angles are adjacent to each other based on the diagram shown.

Adjacent angles are angles that share a common side and a common vertex, meaning they are next to each other.

Let's analyze the diagram:

  • Angle 5\angle 5 and 6\angle 6: These two angles are adjacent because they share a common side and vertex.
  • Other pairs like 5\angle 5 and 3\angle 3, 6\angle 6 and 2\angle 2, or 5\angle 5 and 7\angle 7 do not share a common side and vertex, so they are not adjacent.

Thus, the correct answer is 5\angle 5 and 6\angle 6.

Would you like more details or have any other questions?

Here are 5 related questions:

  1. What is the definition of vertically opposite angles?
  2. Can adjacent angles be supplementary? If so, under what conditions?
  3. What is the difference between complementary and supplementary angles?
  4. How do you determine whether two angles are alternate interior angles in a diagram?
  5. How can you tell if two angles are corresponding angles based on parallel lines?

Tip: Remember that adjacent angles always share both a side and a vertex!

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Math Problem Analysis

Mathematical Concepts

Geometry
Adjacent Angles

Formulas

-

Theorems

Properties of Adjacent Angles

Suitable Grade Level

Grades 6-8