Question

In a five sided star formed by line segments prove that the sum of all angles is equal to 180.

Answer 1

$$\begin{gathered} \mathrm{Some}\mathrm{of}\mathrm{angles}\mathrm{of}\mathrm{a}\mathrm{polygon}\mathrm{having}n\mathrm{sides}=\left(n-2\right)\mathrm{\pi } \\ \mathrm{Some}\mathrm{of}\mathrm{angles}\mathrm{of}\mathrm{a}\mathrm{polygon}\mathrm{having}5\mathrm{sides}=\left(5-2\right)\mathrm{\pi }=3\mathrm{\pi } \end{gathered}$$