Question

Angle measures

Answer 1

Sure! Angle measures can refer to the sizes of angles, which are typically measured in degrees (°) or radians. Here are a few key concepts related to angle measures:

1. **Types of Angles**:
- **Acute Angle**: An angle that measures less than 90°.
- **Right Angle**: An angle that measures exactly 90°.
- **Obtuse Angle**: An angle that measures more than 90° but less than 180°.
- **Straight Angle**: An angle that measures exactly 180°.
- **Reflex Angle**: An angle that measures more than 180° but less than 360°.
- **Full Angle**: An angle that measures exactly 360°.

2. **Angle Measurement Conversions**:
- To convert degrees to radians, use the formula: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
- To convert radians to degrees, use the formula: \(\text{degrees} = \text{radians} \times \frac{180}{\pi}\).

3. **Sum of Angles**:
- In any triangle, the sum of the interior angles is always 180°.
- In a quadrilateral, the sum of the interior angles is always 360°.

4. **Complementary and Supplementary Angles**:
- **Complementary Angles**: Two angles that sum to 90°.
- **Supplementary Angles**: Two angles that sum to 180°.

If you have specific questions about angle measures or need help with calculations, feel free to ask!