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

Mathematics

2 answers:

Maksim231197 [3]3 years ago

3 0

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

qwelly [4]3 years ago

3 0

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°.

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