To find the measure of one interior angle of a regular 19-gon, we will start by finding the sum of its interior angles. Let's substitute 19 for n in this expression.
The sum of the interior angles of a 19-gon is 3060^(∘).
Now, recall that a regular polygon is a polygon in which all the angles have the same measure. Therefore, a regular 19-gon has 19 angles with the same measure. To find the measure of one angle, we will divide the sum of the angles by 19.
Sum of Angles:& 3060^(∘) [0.5em]
One Angle:& 3060/19≈ 161.1 ^(∘)
