We have the following:
What we must do is calculate the total rate, that is, add all of them and then calculate each part, that is:
[tex]4+5+5+8+9+9=40[/tex]
Now we calculate each angle like this
[tex]\begin{gathered} 720\cdot\frac{4}{40}=72 \\ 720\cdot\frac{5}{40}=90 \\ 720\cdot\frac{8}{40}=144 \\ 720\cdot\frac{9}{40}=162 \\ we\text{ add} \\ 72+90+90+144+162+162=720 \end{gathered}[/tex]
then we can affirm that the smallest angle is 72 °
