Gary is using a combination of regular polygonal tiles for his kitchen floor. He begins the tessellation at a vertex by placing one hexagon and two triangles.

Which two polygons should he use to fill up the vacant space at the vertex and make it possible to tessellate the floor?

A)2 squares because 180 = 90 + 90

B)1 triangle and 1 hexagon because 180 = 60 + 120

c)2 hexagons because 360 – (120 + 60 +60) = 120

d)2 triangles because 360 – (120 + 60 +60) = 2 x 60

Question

Gary is using a combination of regular polygonal tiles for his kitchen floor. He begins the tessellation at a vertex by placing one hexagon and two triangles. 

Which two polygons should he use to fill up the vacant space at the vertex and make it possible to tessellate the floor?

A)2 squares because 180 = 90 + 90

B)1 triangle and 1 hexagon because 180 = 60 + 120

c)2 hexagons because 360 – (120 + 60 +60) = 120

d)2 triangles because 360 – (120 + 60 +60) = 2 x 60

anonymous · Answer

I'm guessing it to be option (c) 2 hexagons.
here's the diagram I came up with:
|dw:1342096087619:dw|
this is the initial condition.

anonymous · Answer

this is what I assume they are asking for: [pardon my poor drawing skills...the hexagons have to be of the same dimensions]
|dw:1342096263509:dw|