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From the image, it looks like you're working on converting angles between radians and degrees.

Let's break down each part of the problem:

1. **Given conversion for 60°:**
   - \( 60^\circ = \frac{\pi}{3} \) radians.
   - This is a known conversion. The relationship between degrees and radians is:
     \[
     \text{radians} = \text{degrees} \times \frac{\pi}{180}
     \]

2. **Next step, converting \( \frac{2\pi}{3} \) radians to degrees:**
   - To convert radians to degrees, use:
     \[
     \text{degrees} = \text{radians} \times \frac{180}{\pi}
     \]
     \[
     \frac{2\pi}{3} \times \frac{180}{\pi} = 120^\circ
     \]
     So, \( \frac{2\pi}{3} \) radians equals \( 120^\circ \), which matches the provided answer.

3. **Final question, converting \( \frac{3\pi}{4} \) radians to degrees:**
   - Applying the same formula:
     \[
     \frac{3\pi}{4} \times \frac{180}{\pi} = 135^\circ
     \]
     So, \( \frac{3\pi}{4} \) radians equals \( 135^\circ \).

Would you like more details or have any other questions? 

Here are five related questions to consider:

1. How do you convert degrees to radians?
2. What is the general formula for converting between degrees and radians?
3. Can you convert \( 90^\circ \) to radians?
4. What is the radian measure of a full circle (360°)?
5. How would you convert \( \frac{\pi}{2} \) radians into degrees?

**Tip**: Always remember the conversion factor \( \pi \text{ radians} = 180^\circ \) to switch between degrees and radians.

Certain positive angles are marked in the given figure. Find the corresponding radian or degree measures.

This problem focuses on converting angles between radians and degrees. Learn how to apply key formulas, including radians = degrees × (π / 180) and degrees = radians × (180 / π), with examples such as converting 60°, 120°, and 135°.

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