https://file.aiquickdraw.com/mathbot/file/1725897052033cfd1mumb.jpg

To match the radian and degree values in the image, let’s convert each radian to its corresponding degree.

1. **\( \frac{2\pi}{3} \) radians**:
   \[
   \text{Degrees} = \frac{2\pi}{3} \times \frac{180^\circ}{\pi} = \frac{360^\circ}{3} = 120^\circ
   \]
   So, \( \frac{2\pi}{3} \) radians = **120°**.

2. **\( \frac{5\pi}{4} \) radians**:
   \[
   \text{Degrees} = \frac{5\pi}{4} \times \frac{180^\circ}{\pi} = \frac{900^\circ}{4} = 225^\circ
   \]
   So, \( \frac{5\pi}{4} \) radians = **225°**.

Now, for the remaining degree values:

3. **210°**:
   \[
   \text{Radians} = 210^\circ \times \frac{\pi}{180^\circ} = \frac{7\pi}{6} \, \text{radians}
   \]
   So, 210° = **\( \frac{7\pi}{6} \) radians**.

4. **315°**:
   \[
   \text{Radians} = 315^\circ \times \frac{\pi}{180^\circ} = \frac{7\pi}{4} \, \text{radians}
   \]
   So, 315° = **\( \frac{7\pi}{4} \) radians**.

### Final matches:
- \( \frac{2\pi}{3} \) ↔ 120°
- \( \frac{5\pi}{4} \) ↔ 225°
- 210° ↔ \( \frac{7\pi}{6} \)
- 315° ↔ \( \frac{7\pi}{4} \)

Would you like further details or help with anything else?

### Related Questions:
1. What is the conversion factor between radians and degrees?
2. How do you convert degrees to radians?
3. What is the radian measure of a full circle (360°)?
4. What is the degree equivalent of \( \pi \) radians?
5. How are radians used in trigonometry?

### Tip:
To convert from degrees to radians, multiply by \( \frac{\pi}{180^\circ} \), and for radians to degrees, multiply by \( \frac{180^\circ}{\pi} \).

Match the equivalent degree and radian values.

Master how to convert radians to degrees and vice versa with clear examples. This guide covers essential trigonometric conversions between radians and degrees, perfect for high school students.

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