Given:
The given angle is [tex]\theta=\frac{8 \pi}{9}[/tex] radians.
We need to convert the given radians into degrees.
Radians to degrees:
The radian can be converted into degree by multiplying the given radian by [tex]\frac{180}{\pi}[/tex]
Thus, to convert the given radian [tex]\theta=\frac{8 \pi}{9}[/tex] into degree, we shall multiply the given radian with [tex]\frac{180}{\pi}[/tex]
Hence, we have;
[tex]\frac{8 \pi}{9} \times \frac{180}{\pi}[/tex]
Simplifying, we get;
[tex]160^{\circ}[/tex]
Thus, the measure of the given radian is 160° degrees.
