Question

Find the value of x
x=

Answer 1

`\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 \\\\[-0.35em] ~\dotfill\\\\ 90+146+(3x+10)+(2x)+119~~ = ~~540\implies 365+5x=540 \\\\\\ 5x=175\implies x=\cfrac{175}{5}\implies x=35`