https://file.aiquickdraw.com/mathbot/file/1724611927693uyu7dtda.jpg

To determine which triangles are similar by AA (Angle-Angle) similarity, we need to examine the angles provided for each triangle.

### Triangles:

1. **Triangle ABC**:
   - Angle A = 37°
   - Angle C = 94°

2. **Triangle DEF**:
   - Angle D = 54°
   - Angle F = 94°

3. **Triangle GHI**:
   - Angle G = 94°
   - Angle I = 37°

### Steps to Determine Similarity:

1. **Triangle ABC**:
   - The angles provided are 37° and 94°.
   - The third angle can be calculated as: \(180° - (37° + 94°) = 49°\).

2. **Triangle DEF**:
   - The angles provided are 54° and 94°.
   - The third angle can be calculated as: \(180° - (54° + 94°) = 32°\).

3. **Triangle GHI**:
   - The angles provided are 94° and 37°.
   - The third angle can be calculated as: \(180° - (94° + 37°) = 49°\).

### Comparing the Triangles:

- **Triangle ABC** and **Triangle GHI** both have angles 37° and 94°. Since two corresponding angles are equal, these triangles are similar by AA similarity.
- **Triangle DEF** has different angle measures (54° and 94°) and does not have any pair of corresponding angles equal to those in Triangle ABC or Triangle GHI.

### Conclusion:
The triangles that are similar by AA similarity are **ABC and GHI**. The correct answer should be "ABC and GHI."

Would you like any further details or have any questions?

Here are some related questions:

1. What is the significance of AA similarity in triangles?
2. How can we use the similarity of triangles to find missing side lengths?
3. Can triangles with the same angles be of different sizes?
4. How does AA similarity relate to the concept of congruence?
5. What other criteria (besides AA) can be used to prove triangle similarity?

**Tip:** When checking for triangle similarity using AA, remember that only two angles need to be equal for the triangles to be similar since the third angle will automatically be equal due to the angle sum property of triangles.

Explore how triangles are determined to be similar using the Angle-Angle (AA) similarity method. Detailed analysis of triangles ABC, DEF, and GHI based on angle measures. Learn about the Angle Sum Property of Triangles and its application. Suitable for high school students studying geometry.

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