Calculate the number of degrees that correspond to the angle, π/6.

The angle represented by π/6 radians can be converted to degrees using the following relationship: 180 degrees is equivalent to π radians. To find the degree measure corresponding to π/6, you set up a proportion:

1. Start with the ratio:

[

\text{Degrees} = \text{Radians} \times \left(\frac{180}{\pi}\right)

]

2. Substitute π/6 for the radians:

[

\text{Degrees} = \frac{\pi}{6} \times \left(\frac{180}{\pi}\right)

]

3. The π cancels out:

[

\text{Degrees} = \frac{180}{6}

]

4. Perform the division:

[

\text{Degrees} = 30

]

Therefore, π/6 radians corresponds to 30 degrees. This conversion process is crucial for understanding how to navigate between radians and degrees, which is a fundamental skill in trigonometry.