Question

Find the measure of one exterior angle and one interior angle of a regular 14-gon. Round to the nearest tenth of a degree. One Interior Angle: One Exterior Angle:

Answer 1

We have that the formula for en interior angle of any polygon is

$\alpha=180-\frac{360}{n}$

where n is number of sides, so in this case n=14

$\alpha=180-\frac{360}{14}\approx154.3$

for the exterior angle we have

$\frac{360}{n}=\frac{360}{14}\approx25.7$