Question

Which statement is NOT true about a regular 16-gon?

a) It is a convex polygon.
b) It has 16 congruent sides.
c) The sum of the interior angle measures is 2880 degrees.
d) The sum of the exterior angles, one at each vertex, is 360 degrees

Answer 1

c

Explanation:

(a) A regular 16- gon is a convex polygon ← True

(b) It has 16 congruent sides ← True

(c)

the sum of the interior angles of a regular polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 16 , then

sum = 180° × 14 = 2520°

thus 2880° is False

(d)

the sum of the exterior angles of any polygon = 360° ← True