Math Problem Statement

Which angle number represents an angle adjacent to ∠CGB?

Solution

To find the angle adjacent to CGB\angle CGB, we first need to understand the arrangement.

  • CGB\angle CGB is formed by the rays CGCG and GBGB, making it an angle at vertex GG.
  • An adjacent angle shares a common side (ray) with CGB\angle CGB but does not overlap.

In the diagram:

  • CGB\angle CGB corresponds to angle 2.

  • The adjacent angle to CGB\angle CGB must share the ray GBGB or CGCG.

  • The angle adjacent to angle 2 is angle 1 because they share the ray CGCG and are next to each other, forming a linear pair.

Thus, angle 1 represents the angle adjacent to CGB\angle CGB.

Would you like more details or have any further questions?

Here are five related questions:

  1. What are linear pairs of angles?
  2. What is the sum of adjacent angles in a straight line?
  3. How do you identify vertical angles in this diagram?
  4. Can adjacent angles be complementary or supplementary?
  5. How do adjacent and vertical angles differ?

Tip: Adjacent angles formed by intersecting lines are often supplementary, adding up to 180°.

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Math Problem Analysis

Mathematical Concepts

Geometry
Adjacent Angles
Linear Pair

Formulas

-

Theorems

Linear Pair Theorem

Suitable Grade Level

Grades 6-8