Question

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

Answer 1

Option D

135 degrees

Explanation:

Answer 2

`\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`