question_answer 10)

                How many sides does a regular polygon have if the measure of an exterior angle is \[{{24}^{o}}\]?

Answer:

                Let the number of sides be \[n\]. Then, \[n({{24}^{o}})={{360}^{o}}\]. \[\Rightarrow \]               \[n=\frac{{{360}^{\text{o}}}}{{{24}^{\text{o}}}}=15\] Hence, the number of sides is 15.