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The correct answer is $192$. The measure of an angle, in degrees, can be found by multiplying its measure, in radians, by $\frac{180 \text{degrees}}{\pi \text{radians}}$. Multiplying the given angle measure, $\frac{16\pi }{15}\text{radians}$, by $\frac{180 \text{degrees}}{\pi \text{radians}}$ yields $\left(\frac{16\pi }{15}\text{radians}\right)\left(\frac{180 \text{degrees}}{\pi \mathrm{radians}}\right)$, which simplifies to $192$ degrees.