Given:
The given angle is
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
![(180)/(\pi)](https://img.qammunity.org/2021/formulas/mathematics/high-school/wspn5c5z9mmwdrpbx4q83ie5pd7xacrqt9.png)
Thus, to convert the given radian
into degree, we shall multiply the given radian with
![(180)/(\pi)](https://img.qammunity.org/2021/formulas/mathematics/high-school/wspn5c5z9mmwdrpbx4q83ie5pd7xacrqt9.png)
Hence, we have;
![(8 \pi)/(9) * (180)/(\pi)](https://img.qammunity.org/2021/formulas/mathematics/high-school/39l6rbf76e2q65ihhzexeon2wb6mrsfe6l.png)
Simplifying, we get;
![160^(\circ)](https://img.qammunity.org/2021/formulas/mathematics/high-school/6n0s9138cmjm2phz3e9lhbk17ftxposfiu.png)
Thus, the measure of the given radian is 160° degrees.