36.4k views
5 votes
Choose the option that correctly completes the statement.The sum of the exterior angles of an octagon, with one at each vertex, is (____) degrees.a. 360b. 1080

User Matsmath
by
7.4k points

1 Answer

5 votes

Final answer:

The sum of the exterior angles of an octagon is always 360 degrees.

Step-by-step explanation:

The sum of the exterior angles of any polygon is always 360 degrees. In an octagon, there are 8 exterior angles, one at each vertex. So, the sum of the exterior angles of an octagon is also 360 degrees.

Example:

If we take an octagon and measure each exterior angle, we will find that they add up to 360 degrees. For instance, if one exterior angle measures 45 degrees, then the sum of all exterior angles in the octagon will be 45 degrees x 8 = 360 degrees.

User Roudan
by
7.6k points