Question

constructing angle quick check

Answer 1

If you're looking to quickly check if two angles are complementary, supplementary, or simply to verify their measurements, here's an easy guide:

### Angle Relationships Quick Check

1. **Complementary Angles**:
- Two angles are complementary if their measures add up to 90 degrees.
- **Quick Check**:
- If Angle A + Angle B = 90°, they are complementary.
- Example: 30° + 60° = 90° (complementary)

2. **Supplementary Angles**:
- Two angles are supplementary if their measures add up to 180 degrees.
- **Quick Check**:
- If Angle A + Angle B = 180°, they are supplementary.
- Example: 110° + 70° = 180° (supplementary)

3. **Vertical Angles**:
- Vertical angles are formed when two lines intersect and are opposite each other; they are always equal.
- **Quick Check**:
- If Angle A and Angle B are vertical angles, then Angle A = Angle B.

4. **Adjacent Angles**:
- For adjacent angles (angles that share a common side and vertex) to sum to a specific degree measure (either 90° or 180°), check if they form complementary or supplementary pairs.
- **Quick Check**:
- Check the measures. If they meet the criteria for complementary or supplementary, they are Adjacent.

### Tips for Quick Angle Measures

- **Protractor Use**: If you're measuring angles physically or on paper, using a protractor gives you an accurate measure quickly.
- **Calculator**: For quick calculations, use a calculator to add the angles and check against the required sum (90° or 180°).

### Practice Problem

Check the relationship:
- Angle A = 45°
- Angle B = 45°

**Solution**:
- 45° + 45° = 90°, so they are complementary.

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