https://file.aiquickdraw.com/mathbot/file/1726085093338u4jsvvwr.jpg

To determine \( m \angle STU \) from the given diagram:

We observe that \( \angle STU \) is the exterior angle to triangle \( SVU \). According to the exterior angle theorem, an exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Given:
- \( \angle TSV = 41^\circ \)
- \( \angle VUT = 35^\circ \)

Therefore, 
\[
m \angle STU = 41^\circ + 35^\circ = 76
\]

The value of \( m \angle STU \) is **76**.

Would you like further explanation or have any questions?

Here are 5 related questions you might find useful:
1. How can the exterior angle theorem be applied to other triangles?
2. What is the sum of the interior angles in a triangle?
3. How do we prove the exterior angle theorem geometrically?
4. What is the relationship between adjacent angles on a straight line?
5. How does the triangle inequality relate to angles?

**Tip:** Always remember that the sum of the interior angles of any triangle is \( 180^\circ \).

What is m∠STU? Only type the number, no degree sign since it's on Canvas.

Learn how to calculate the measure of angle STU using the exterior angle theorem. Given the interior angles 41° and 35°, the exterior angle STU equals 76°. Suitable for middle school geometry students.

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