Question

For a regular 12-sided polygon, find each of the following:a) the measure of an exterior angle _____?b) the measure of an interior angle _____?

Answer 1

Question:

For a regular 12-sided polygon, find each of the following:



a) the measure of an exterior angle _____?



b) the measure of an interior angle _____?​

Solution:

Note that, for any point in a polygon, the interior angle and exterior angle are on a straight line and therefore add up to 180°. This means that we can work out the interior angle from the exterior angle and vice versa:

a) the measure of an exterior angle is given by the following formula:

$Exterior\text{ angle = }180^{\circ}-\text{ }Interior\text{ angle}$

b) the measure of an interior angle is given by the following formula:

$Interior\text{ angle = }180^{\circ}-Exterior\text{ angle}$