Find the degree measure of an angle of 3π/5 radians

To convert radians to degrees, we use the conversion factor that states 180 degrees is equivalent to π radians. Therefore, to convert an angle in radians to degrees, we multiply by the fraction 180/π.

For the angle of 3π/5 radians, the conversion to degrees can be done as follows:

Degrees = (3π/5) * (180/π)

In this expression, the π in the numerator and the denominator will cancel each other out:

Degrees = 3 * (180/5)

Now, we can simplify further:

Degrees = 3 * 36 = 108 degrees

Thus, the degree measure of an angle of 3π/5 radians is 108 degrees.