find the sum of the measures of the interior angles of a convex 16-gon.
@aibot
Find the sum of the measures of the interior angles of a convex 16-gon
A convex polygon is a polygon in which all its interior angles are less than 180 degrees. To find the sum of the measures of the interior angles of a convex 16-gon, we can use the formula:
Sum of Interior Angles = (n - 2) * 180 degrees
where n is the number of sides of the polygon.
In this case, we have a convex 16-gon, so we substitute n = 16 into the formula:
Sum of Interior Angles = (16 - 2) * 180 degrees
= 14 * 180 degrees
= 2520 degrees
Therefore, the sum of the measures of the interior angles of a convex 16-gon is 2520 degrees.