https://file.aiquickdraw.com/mathbot/file/1726615263934965t4voy.jpg

The problem is asking to identify which pair of angles are vertical angles from the given diagram.

### Key Concept:
Vertical angles are angles that are opposite each other when two lines cross. They are always congruent (equal in measure).

From the diagram:
- \( \overrightarrow{RW} \) and \( \overrightarrow{RT} \) form a straight line.
- \( \overrightarrow{RU} \) and \( \overrightarrow{RS} \) also form a straight line.

### Angle Pairs:
1. **\( \angle WRU \) and \( \angle SRT \)**: These are vertical angles because they are opposite each other, where \( \overrightarrow{RW} \) crosses \( \overrightarrow{RS} \) at point \( R \).

Thus, the correct answer is the second option: **\( \angle WRU \) and \( \angle SRT \)**.

Would you like more details or have any questions?

Here are 5 related questions to help expand understanding:
1. What is the definition of adjacent angles?
2. Can supplementary angles be vertical angles?
3. How can we use vertical angles in solving for unknown angles in geometry?
4. What is the difference between complementary and supplementary angles?
5. Can vertical angles ever be unequal?

**Tip:** Vertical angles are always congruent (equal), and knowing this can help in finding unknown angle measures in geometric problems.

Which pair of angles are vertical angles? (based on the diagram in the image)

In this problem, students are asked to identify which pair of angles are vertical angles based on a geometric diagram. This exercise helps students understand the concept of vertical angles and their properties. Suitable for Grades 7-9 geometry students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation