https://file.aiquickdraw.com/mathbot/file/1726242308609ezp9qm7l.jpg

The diagram shows three angles around point \( R \). We are tasked with finding \( m\angle QRS \).

- \( \angle QRT \) measures \( 48^\circ \).
- \( \angle TRS \) measures \( 35^\circ \).

Since angles \( \angle QRT \) and \( \angle TRS \) are adjacent and share the vertex \( R \), the measure of \( \angle QRS \) is the sum of these two angles:

\[
m\angle QRS = m\angle QRT + m\angle TRS
\]

\[
m\angle QRS = 48^\circ + 35^\circ = 83^\circ
\]

Thus, the measure of \( \angle QRS \) is \( 83^\circ \).

Do you want any further details or explanations? Here are 5 related questions:

1. How would you find the third angle if this were part of a triangle?
2. Can adjacent angles sum to more than \( 180^\circ \)?
3. What are the properties of adjacent angles?
4. How do you determine angles around intersecting lines?
5. What is the sum of angles around a point?

**Tip:** When solving angle problems involving adjacent angles, always check if the angles add up to a known total, such as \( 180^\circ \) for straight lines or \( 360^\circ \) around a point.

Solve for m∠QRS based on the given angles m∠QRT = 48° and m∠TRS = 35°.

Learn how to solve for m∠QRS in a geometric diagram with given adjacent angles. This problem involves finding the sum of adjacent angles. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation