https://file.aiquickdraw.com/mathbot/file/1726694311309puku05r6.jpg

The image shows a collection of angle pairs with labels, and the task is to separate them into different categories: Complementary, Supplementary, Vertical, or None of the Above.

Let’s categorize each card based on the definitions:

1. **Complementary Angles**: Two angles that add up to 90 degrees.
2. **Supplementary Angles**: Two angles that add up to 180 degrees.
3. **Vertical Angles**: Opposite angles formed by two intersecting lines, which are always equal.

Now, let's sort the angle pairs from the image:

1. **Top Left (90°, 90°)**: Supplementary (90° + 90° = 180°)
2. **Top Second (17°, 163°)**: Supplementary (17° + 163° = 180°)
3. **Top Third (157°, 49°)**: None of the Above (157° + 49° ≠ 180°, ≠ 90°)
4. **Top Fourth (32°, 29°)**: None of the Above (32° + 29° ≠ 90°, ≠ 180°)
5. **Top Fifth (45°, 45°)**: Complementary (45° + 45° = 90°)

6. **Bottom Left (48°, 48°)**: Vertical (two opposite angles formed by intersecting lines)
7. **Bottom Second (147°, 33°)**: Supplementary (147° + 33° = 180°)
8. **Bottom Third (71°, 71°)**: Vertical (two opposite angles formed by intersecting lines)
9. **Bottom Fourth (43°, 43°)**: Vertical (two opposite angles formed by intersecting lines)
10. **Bottom Fifth (53°, 37°)**: Complementary (53° + 37° = 90°)

Here’s the summary:

- **Vertical Angles**:
  - (48°, 48°)
  - (71°, 71°)
  - (43°, 43°)

- **Supplementary Angles**:
  - (90°, 90°)
  - (17°, 163°)
  - (147°, 33°)

- **Complementary Angles**:
  - (45°, 45°)
  - (53°, 37°)

- **None of the Above**:
  - (157°, 49°)
  - (32°, 29°)

Would you like more details on any of these categories?

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### Follow-Up Questions:
1. What is the relationship between complementary and supplementary angles in geometry?
2. How do vertical angles behave in a pair of intersecting lines?
3. Can complementary angles exist outside of right angles?
4. What is the significance of congruent angles in geometry?
5. How can you verify if two angles are vertical without measuring?

### Tip:
Vertical angles are always equal, no matter the measure of the intersecting angles!

Separate cards into stacks of Complementary, Supplementary, or Vertical Angles.

Learn how to classify angles as complementary, supplementary, vertical, or none of the above with this interactive angle classification problem. Explore the definitions of these angle pairs and test your knowledge with real examples. Ideal for students in grades 6-8.

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