Question

A polygon is broken up into 5 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?
a.pentagon
b.hexagon
c.heptagon
d.octagon

Answer 1

C. Heptagon 

Just took the test on edgen.....

Answer 2

Answer:

The answer is Heptagon.

Step-by-step explanation:

Given is - A polygon is broken up into 5 non-overlapping triangles.

Hence, the interior angle sum is = $5\times180=900$ degrees

The sum of the interior angles of a convex polygon is given by:

$(n-2)180$ degrees.

$(n-2)180=900$

$180n-360=900$

$180n=1260$

$n=7$

Hence, the number of sides the polygon will have is 7.

And 7 sided polygon is called a heptagon.