First of all there is three regions mentioned in the task but only two mentioned in the table. So let's assume that it's a mistake and we actually have just two regions.
According to the table data we can find the percentage of times spinner landed on each region:
The Light Side: [tex]\frac{6}{6+4}*100\%=60\%[/tex]
The Dark Side: [tex]\frac{4}{6+4}*100\%=40\%[/tex]
Now we can the degree measurement of each region:
The Light Side: [tex]\frac{360^{\circ}}{100\%}*60\%=216^{\circ}[/tex]
The Dark Side: [tex]\frac{360^{\circ}}{100\%}*40\%=144^{\circ}[/tex]
