ANSWER
[tex]\text{ 360}\degree[/tex]EXPLANATION;
Follow the steps below to evaluate the given expression
[tex]\text{ Part = percentage }\times\text{ whole}[/tex]Let percentage = 85%
whole = 360
Let x = part
[tex]\begin{gathered} \text{ x = 85\% }\times\text{ 360} \\ \text{ x = }\frac{\text{ 85}}{\text{ 100}}\times\text{ 360} \\ \\ \text{ x = }\frac{\text{ 85 }\times\text{ 360}}{\text{ 100}} \\ \\ \text{ x = }\frac{\text{ 30600}}{\text{ 100}} \\ \text{ x = 306}\degree \end{gathered}[/tex][tex]\text{ Hence, 85\% of 360}\degree\text{ is 306}\degree[/tex]