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 <em>n</em>. 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 <em>n</em> 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°.
