Question

Please answer this in two minutes

Answer 1

22.5 degrees.

Explanation:

The sum of the exterior angles of any regular polygon is 360 degrees.

We are working with a regular 16-gon, so there are 16 exterior angles that add up to be 360 degrees.

360 / 16 = 22.5.

So, the measure of an exterior angle is 22.5 degrees.

Hope this helps!

Answer 2

22.5°

Explanation:

The sum of the exterior angles of any given polygon is 360°. Therefore, the size of an exterior angle of any given polygon would be 360° ÷ the number of sides of that polygon.

Thus, given a regular polygon with 16 sides, the sum of the exterior angles of the 16-gon = 360°.

The measure of one exterior angle of the 16-gon = 360° ÷ 16 = 22.5° (nearest tenth).