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What is the measure of the missing angle?

What is the measure of the missing angle?-example-1
User Tbhartman
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\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\\\\ 105+118+75+130+x~~ = ~~540\implies 428+x=540\implies x=112

User Croixhaug
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