ANALYZE Are there angles that do not have a complement? Justify your argument.

 

1 of 4.
Select Choice
; angles that are 2 of 4.
Select Choice
 3 of 4.
Select Choice
 complements because their measures are 4 of 4.
Select Choice
 90°.

Yes, there are angles that do not have a complement. An angle’s complement is another angle that, when added to it, results in a total of **90°**. Therefore, any angle that is **90° or greater** does not have a complement. This is because if an angle measures **90°**, its complement would have to be **0°**, which is not a valid angle in most cases. Similarly, angles larger than **90°** cannot have complements because the sum would exceed **90°**, which contradicts the definition of complementary angles.

### Justification:
- For an angle to have a complement, its measure must be less than **90°**.
- Angles that are **90°** or greater cannot have a complementary angle because no positive angle can make their sum equal to **90°**.

Let me know if you'd like further details!

### 5 Related Questions:
1. What is the complement of a **45°** angle?
2. Can an angle have more than one complement?
3. How are supplementary angles different from complementary angles?
4. What is the complement of an angle measuring **0°**?
5. How do complementary and supplementary angles relate to real-world objects?

### Tip:
Always remember: complementary angles add up to **90°**, while supplementary angles add up to **180°**.

Are there angles that do not have a complement? Justify your argument.

Explore the concept of complementary angles and understand why angles that are 90° or greater do not have a complement. This detailed explanation is ideal for students in Grades 6-8 and covers key geometric concepts and theorems.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation