The first thing we have to know is that pi= 180º
[tex]\begin{gathered} \frac{23\pi}{4}=\frac{23(180º)}{4}=1035 \\ \end{gathered}[/tex]
From this value of 1035 we must subtract 360 for each turn of the circumference until it gives us a value less than 360
[tex]\begin{gathered} 1035-360=675 \\ 675-360=315º \end{gathered}[/tex]
So the first answer would be
[tex]\frac{23\pi}{4}\to315º[/tex]
Using the same methodology the following angles would give
[tex]\begin{gathered} \frac{18\pi}{5}_{}\to288º \\ \frac{22\pi}{9}\to80º \\ \frac{19\pi}{3}_{}\to60º \end{gathered}[/tex]
