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

The answer is Heptagon.

Explanation:

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

Hence, the interior angle sum is =
`5*180=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.