Question

What is the measure of the missing angle? Explain/show your work.

Answer 1

let's keep in mind this is a Heptagon, namely with 7 sides.

`\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 \\\\[-0.35em] ~\dotfill\\\\ 125+110+95+170+155+115+z=900\implies 770+z=900\implies z=130`