Math Problem Statement

Which angle number represents an angle adjacent to ∠CGB?

Solution

To solve the problem in the image, we need to identify which angle is adjacent to ∠CGB.

Key points:

  • ∠CGB refers to the angle formed between lines CGCG and GBGB, which is angle 2 in the diagram.
  • Adjacent angles share a common side and vertex but do not overlap.

For ∠CGB (angle 2):

  • Its adjacent angle will share the vertex GG and the line GBGB, which is angle 3.

Thus, the angle adjacent to ∠CGB is angle 3.

Would you like a further breakdown or have more questions?

Related Questions:

  1. What are vertical angles, and which angles in this diagram are vertical?
  2. Which angle is complementary to ∠CGB?
  3. Can two adjacent angles be supplementary? Provide examples from this diagram.
  4. What is the sum of all angles around point GG?
  5. Which angles are congruent based on the diagram?

Tip: Adjacent angles often form linear pairs, meaning their sum is 180°.

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Math Problem Analysis

Mathematical Concepts

Geometry
Angle Relationships

Formulas

No specific formula, but involves understanding of adjacent and vertical angles

Theorems

Adjacent angles share a vertex and a side, without overlap

Suitable Grade Level

Grades 6-8