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Drupady [299]
3 years ago
6

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

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
4 0
\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
ANTONII [103]3 years ago
4 0

Answer:

Option D

135 degrees

Step-by-step explanation:

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