https://file.aiquickdraw.com/mathbot/file/1725499653463jgxizlnq.jpg

In the image, we are asked to identify an angle adjacent to ∠BFD. 

### Step-by-step solution:
1. **Definition of Adjacent Angles**: 
   Adjacent angles share a common vertex and a common side, but they do not overlap.

2. **Identify ∠BFD**:
   The angle ∠BFD is formed by the rays \( \overrightarrow{BF} \) and \( \overrightarrow{FD} \), with \( F \) as the vertex.

3. **Identify Adjacent Angles**:
   - Angle \( \angle BFD \) shares the common vertex \( F \). 
   - The ray \( \overrightarrow{FD} \) is a part of the angle. We need to find another angle that shares this ray and does not overlap with \( \angle BFD \).
   - One such angle is \( \angle EFD \), formed by rays \( \overrightarrow{FE} \) and \( \overrightarrow{FD} \).

Thus, **an angle adjacent to ∠BFD is ∠EFD**.

Would you like more details or explanations? Feel free to ask!

Here are 5 related questions:
1. What are vertical angles, and how are they identified in this figure?
2. How do we calculate the sum of adjacent angles on a straight line?
3. Can two adjacent angles be complementary?
4. What is the difference between adjacent and supplementary angles?
5. How do you identify the vertex and sides of an angle in geometric diagrams?

**Tip**: When identifying adjacent angles, always look for angles that share a common ray and vertex but do not overlap!

What is an angle that is adjacent to ∠BFD?

This page explains how to identify adjacent angles in a geometric diagram, specifically looking at ∠BFD. The detailed solution walks through the definition of adjacent angles, how to identify them, and provides an example using ∠BFD and ∠EFD. Suitable for middle school students in Grades 6-8.

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