If angle \( A=-\frac{31 \pi}{18} \) in radians, what is the degree measure of \( A ? \)

To convert the angle \( A = -\frac{31 \pi}{18} \) radians to degrees, we can use the conversion factor that \( 180^\circ \) is equivalent to \( \pi \) radians. The formula for converting radians to degrees is: \[ \text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi} \] Substituting the value of \( A \): \[ \text{Degrees} = -\frac{31 \pi}{18} \times \frac{180^\circ}{\pi} \] The \( \pi \) in the numerator and denominator cancels out: \[ \text{Degrees} = -\frac{31 \times 180^\circ}{18} \] Now, we can simplify \( \frac{180}{18} \): \[ \frac{180}{18} = 10 \] Thus, we have: \[ \text{Degrees} = -31 \times 10 = -310^\circ \] Therefore, the degree measure of angle \( A \) is \[ \boxed{-310^\circ} \]