15.3k views
1 vote
Find the measure of each angle of a regular polygon with 8 sides

User David Taub
by
7.4k points

1 Answer

5 votes

\bf \textit{sum of all interior angles in a polygon}\\\\ \stackrel{sum}{\theta n}=180(n-2)\quad \begin{cases} \theta =angle~in\\ \qquad degrees\\ n=\textit{number of sides}\\ ---------\\ n=8 \end{cases}\implies \theta 8=180(8-2) \\\\\\ \theta 8=180(6)\implies \theta 8=1080\implies \theta =\cfrac{1080}{8}\implies \theta =135
User Aaron Bentley
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories