https://file.aiquickdraw.com/mathbot/file/1724707233010c4ceyn22.jpg

To solve for the missing angles \(x\) and \(y\), let's analyze the diagram where one of the angles is given as 24° and another angle is a right angle (90°).

### Step 1: Understand the Relationships Between Angles
- **Angle \(x\)**: Angle \(x\) and the 24° angle are complementary because together with the right angle (90°), they form a straight line (which totals 180°). Therefore:
  \[
  x + 24^\circ + 90^\circ = 180^\circ
  \]
  Solving for \(x\):
  \[
  x = 180^\circ - 90^\circ - 24^\circ = 66^\circ
  \]

- **Angle \(y\)**: Angle \(y\) and \(x\) are vertically opposite angles, so:
  \[
  y = x = 66^\circ
  \]

### Step 2: Conclusion
- \( x = 66^\circ \)
- \( y = 66^\circ \)

Would you like more details or have any further questions?

### Related Questions:
1. What are complementary angles, and how are they used in geometry?
2. How do you determine if two angles are vertically opposite?
3. What is the sum of angles around a point, and how is this useful?
4. Can a right angle be vertically opposite to another right angle?
5. How can you use the properties of angles to solve real-world problems?

### Tip:
Remember, angles on a straight line always sum to 180°, and complementary angles sum to 90°. This can help you easily solve various angle-related problems!

Learn how to solve for the missing angles x and y in a geometry problem. This problem involves understanding complementary angles and vertically opposite angles. Includes a step-by-step solution with angle calculations. 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