https://file.aiquickdraw.com/mathbot/file/1726002566582u8bwviit.jpg

The question asks which angles are exterior angles in the given diagram. Exterior angles are those that lie outside the triangle formed by the lines and the transversal.

Let's analyze the image:

- The red triangle has angles labeled 1, 2, and 3 inside the triangle.
- Angles labeled 4, 5, and 6 are outside the triangle.

### Exterior angles:
Exterior angles are formed when a side of a triangle is extended, and they are supplementary to the interior angles of the triangle.

- **Angle 4** is an exterior angle because it is outside the triangle and adjacent to angle 2.
- **Angle 5** is an exterior angle because it is outside the triangle and adjacent to angle 3.
- **Angle 6** is also an exterior angle because it is outside the triangle and adjacent to angle 1.

### Therefore, the correct exterior angles are:
- **A. ∠4**
- **B. ∠5**
- **E. ∠6**

Do you want any more details on this problem? 

Here are 5 related questions you might find helpful:
1. What is the relationship between interior and exterior angles of a triangle?
2. How do you calculate the measure of an exterior angle?
3. What are alternate interior angles, and where do they appear in this diagram?
4. What is the sum of the exterior angles of a triangle?
5. Can an exterior angle ever be smaller than its corresponding interior angle?

**Tip:** Exterior angles of a triangle are always supplementary to their adjacent interior angles, meaning their sum is always 180°.

Which of the following are exterior angles? Check all that apply.

Learn how to identify exterior angles in a triangle geometry problem. This problem covers key geometric concepts like the exterior angle theorem and supplementary angles. Suitable for students in Grades 7-9.

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