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The question in the image asks what type of triangle can be formed with angles of \( 32^\circ \), \( 126^\circ \), and \( 32^\circ \).

Let's analyze:

1. **Sum of the angles in a triangle**: The sum of the interior angles of any triangle must be \( 180^\circ \). In this case:
   \[
   32^\circ + 126^\circ + 32^\circ = 190^\circ
   \]
   The sum exceeds \( 180^\circ \), which is impossible for a triangle. Therefore, **no triangle** can be formed with these angle measures.

Thus, the correct answer is **"no triangle"**.

Do you need any further clarifications or details?

Here are five related questions:
1. What is the sum of angles in any triangle, and why?
2. What are the different types of triangles based on angles?
3. How does an obtuse triangle differ from an acute triangle?
4. Can a triangle have more than one obtuse angle? Why or why not?
5. What is the significance of the triangle inequality theorem in determining if a triangle can exist?

**Tip:** Always check that the sum of the given angles equals \(180^\circ\) to confirm if a triangle can be formed!

What type of triangle, if any, can be formed with angle measures of 32°, 126°, and 32°?

Explore how to determine if a triangle can be formed with angle measures of 32°, 126°, and 32°. Learn about the Triangle Angle Sum Theorem and why the sum of these angles exceeds 180°, meaning no triangle can be formed. Ideal for students in Grades 6-8.

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