https://file.aiquickdraw.com/mathbot/file/1725806922593j27cb1ws.jpg

To solve this problem, we need to find the complement of each angle given in the list. Two angles are complementary if the sum of their measures equals 90°. 

Given the following angles:

1. \( \angle 1 = 68^\circ \)
2. \( \angle 1 = 58^\circ \)
3. \( \angle 2 = 23^\circ \)
4. \( \angle 2 = 15^\circ \)
5. \( \angle 1 = 87^\circ \)

To find the complementary angle, subtract the given angle from 90°.

### Solutions:

1. **For \( \angle 1 = 68^\circ \)**:
   \[
   \text{Complement} = 90^\circ - 68^\circ = 22^\circ
   \]

2. **For \( \angle 1 = 58^\circ \)**:
   \[
   \text{Complement} = 90^\circ - 58^\circ = 32^\circ
   \]

3. **For \( \angle 2 = 23^\circ \)**:
   \[
   \text{Complement} = 90^\circ - 23^\circ = 67^\circ
   \]

4. **For \( \angle 2 = 15^\circ \)**:
   \[
   \text{Complement} = 90^\circ - 15^\circ = 75^\circ
   \]

5. **For \( \angle 1 = 87^\circ \)**:
   \[
   \text{Complement} = 90^\circ - 87^\circ = 3^\circ
   \]

Would you like more details on how to find complementary angles or have any questions?

### Additional Questions:
1. What are supplementary angles and how do you calculate them?
2. How are complementary angles used in geometry problems involving right triangles?
3. Can an angle be complementary to itself? Why or why not?
4. How do complementary angles relate to the concept of perpendicular lines?
5. What real-life examples can you think of where complementary angles are used?

### Tip:
Always double-check your subtraction when finding complementary angles to avoid simple arithmetic errors.

Given the following measures, find the complement of the following angles: Refer to the illustration on the right for #1-5.
1. ∠1 = 68°
2. ∠1 = 58°
3. ∠2 = 23°
4. ∠2 = 15°
5. ∠1 = 87°

Learn how to find the complement of angles with measures of 68°, 58°, 23°, 15°, and 87°. This basic geometry problem teaches students how to calculate complementary 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