https://file.aiquickdraw.com/mathbot/file/1726085130486ino2qe16.jpg

The problem is asking for the measure of \( \angle STU \) from the provided diagram.

From the image, the two known angles are:

- \( \angle TSV = 41^\circ \)
- \( \angle VTU = 35^\circ \)

These two angles, \( \angle TSV \) and \( \angle VTU \), are adjacent angles that together form \( \angle STU \), which is a straight line. Therefore, the sum of the angles must equal 180°.

We can calculate \( \angle STU \) using the formula for a straight angle:

\[
\text{m} \angle STU = 180^\circ - (41^\circ + 35^\circ)
\]

Let's compute it:

\[
\text{m} \angle STU = 180^\circ - 76^\circ = 104^\circ
\]

Thus, the measure of \( \angle STU \) is 104.

Let me know if you would like more details or further clarifications.

Here are 5 related questions to explore further:

1. What is the definition of adjacent angles?
2. How do you calculate the measure of angles on a straight line?
3. Can vertical angles help in solving this type of problem?
4. How are supplementary angles used in geometry?
5. What are the properties of angles formed by intersecting lines?

**Tip:** Remember that angles on a straight line always add up to 180°.

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

Learn how to find the measure of ∠STU using adjacent and supplementary angles. This problem involves using the angle addition postulate and the property of a straight line. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation