Which of the following is the measure of one of the central angles of a regular octagon? A. 45 degrees B. 72 C. 135 D. 360

Question

asked May 13, 2019 162k views

2 Answers

Silviud · Answer 1 · 2019-05-20T03:22:56+0000

General Idea:

The measure of one of the central angles of a regular Polygon (
$\theta$ ) can be used using the below formula:

$\theta=  (360^(\circ))/(n)    \\\\Where: \\\; n\; is\; number\; of\; sides\; of\; regular\; polygon$

Applying the concept:

The measure of one of the central angles of a regular octagon.

The octagon have 8 sides, using the above formula we get...

$\theta= (360)/(n) \\\\\theta = (360)/(8) = 45^(\circ)$

Conclusion:

The correct option is A) 45 degrees