Answer:
160°
Step-by-step explanation:
-Given the angle in radians as [tex]\theta=\dfrac{8\pi}{9}\ rad[/tex]
-We know that [tex]1 \ rad=\frac{180}{\pi}\textdegree[/tex]
-Let our angle theta be X
#We therefore equate and cross multiply:
[tex]1\ rad=\frac{180}{\pi}\\\\\frac{8\pi}{9}=x\\\\\therefore X=\frac{180}{\pi}\times \frac{8\pi}{9}\\\\=160\textdegree[/tex]
Hence, angle θ is 160°
