Question

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

Answer 1

A. 45 degrees. Smsmsnsmms

Answer 2

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