Question

What is the sum of the interior angles of
the polygon shown below?

Answer 1

let's take a looksie at the polygon, hmmm it has 5 sides so it's Pentagon, ok, so

`\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies S=180(5-2)\implies S=540`