Question

7a) Determine the measure of each missing angle.

Answer 1

`\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=8 \end{cases}\implies 8\theta =180(8-2) \\\\\\ 8\theta =1080\implies \theta =\cfrac{1080}{8}\implies \theta =135^o`

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