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Answer:
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 .
