Question

A polygon is broken up into 4 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?

octagon
hexagon
heptagon
quadrilateral

Answer 1

Heptagon!

Explanation:

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

A seven sided figure is a Heptagon

Therefore the answer is Heptagon!

Answer 2

Octagon
hope this helps!
-MalStar