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PLEASE HELPPP Find b.
110°
116
b
68°
70°

PLEASE HELPPP Find b. 110° 116 b 68° 70°-example-1
User Charlotta
by
7.1k points

1 Answer

5 votes

Check the picture below.

let's notice the polygon has 6 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=6 \end{cases}\implies S=180(6-2)\implies S=720 \\\\[-0.35em] ~\dotfill\\\\ 2b+110+116+112+110~~ = ~~720 \\\\\\ 2b+448=720\implies 2b=272\implies b=\cfrac{272}{2}\implies b=136

PLEASE HELPPP Find b. 110° 116 b 68° 70°-example-1
User Azeez Kallayi
by
7.7k points