Final answer:
To convert -5π/8 radians to degrees, multiply by the conversion factor of 57.3 degrees per radian. The rounded degree measure is approximately -180.79 degrees.
Step-by-step explanation:
To convert the radian measure to degrees, we can use the conversion factor of 1 radian = 57.3 degrees. In this case, the radian measure is -5π/8. We can multiply this by the conversion factor to get the degree measure:
-5π/8 * 57.3 = -180.79 degrees.
When rounded to the nearest hundredth, the degree measure is approximately -180.79 degrees.