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What is the measure of each interior angle of a regular octagon?
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What is the measure of each interior angle of a regular octagon?

User Archana Aggarwal
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2 Answers

4 votes

Answer:

Option D

135 degrees

Explanation:

User Toadjamb
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3 votes

\bf \textit{sum of all interior angles in a regular polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\textit{number of sides}\\ \theta =angle~in\\ \qquad degrees\\ ---------\\ \stackrel{octagon}{n=8} \end{cases}\implies 8\theta =180(8-2) \\\\\\ \theta =\cfrac{180(8-2)}{8}\implies \theta =\cfrac{45(8-2)}{2}\implies \theta = 135
User Samreen
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