Question

Find measures of each exterior angle of a regular polygon with 16 sides

Answer 1

The measure of each exterior angle = the measure of each central angle.
each angle = 360 / 16 = 22.5

Answer 2

Answer: 22.5°

Step-by-step explanation: In this problem, we are asked to find the measure of each exterior angle of a regular polygon that has 16 sides.

The formula for finding the measure of each exterior angle of a regular polygon is similar to the formula for finding the measure of each interior angle.

We take the sum of the measures of the exterior angles which is always 360° divided by the number of sides in the polygon which is n. So the formula for finding the measure of each exterior angle of a regular polygon is 360/n.

In this problem, since the polygon has 16 sides, we simply plug a 16 in for n in our formula and we have 360 divided by 16 which is 22.5.

So the measure of each exterior angle of a regular polygon that has 16 sides is 22.5°.