1. Find the sum of the measures of the interior angles of a convex 11-gon.

The measure of the sum of interior angles of a 11-gon is .

Each interior angle is approximately .

Step-by-step explanation:

A convex polygon has the measure of each interior angles to be less than .

But,

sum of interior angles of polygon = (n - 2) x

where n is the number of sides of the polygon.

For a convex 11-gon, we have;

sum of angles of a 11-gon = (11 - 2) x

                                         = 9 x

                                         =

Sum of angles of a 11-gon =

To check: convex polygons' interior angles are less than .

so that,

each interior angle of 11-gon =

                                        =