1. Find the sum of the measures of the interior angles of the indicated convex Polygon
B) 16-gon
A) 14-gon

A) Sum of angles in the 14-gon =

B) Sum of angles in the 16-gon =

Step-by-step explanation:

Convex polygon is one that has the value of its internal angles less than the sum of angles in a triangle. That is each interior angle is less than .

Sum of angles in a polygon = (n - 2) x

where n is the value of its number of sides.

So that;

A) 14-gon (which has 14 sides),

Sum of angles in the 14-gon = (14 - 2) x

                                  = 12 x

                                  =

The sum of the measure of the interior angles of the 14-gon is .

B) 16-gon (which has 16 sides),

Sum of angles in the 16-gon = (16 - 2) x

                                    = 14 x

                                    =

The sum of the measure of the interior angles of the 16-gon is .

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step-by-step explanation: