Question

Consider the polygon below.

What is the sum, in degrees, of the measures of the interior angles of the polygon?

Answer 1

if we look at the polygon above, hmmm is a Heptagon, or namely it has 7 sides 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=7 \end{cases}\implies S=180(7-2)\implies S=900`

Answer 2

Each interior angle is about 128.57 degrees and all the angles combined are 900 degrees