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Divide the internal angles of a shape by 360, if it equals a whole number it will tessellate

If you can divide $360^@$ exactly by an inside angle of a regular shape and get a whole number it can form a tessellation pattern.

Triangle

The internal angles of a triangle divided by 360 makes 6, this is a whole number so triangles will tessellate

$360/60=6$

(6 is a whole number)

Answer:

6 therefore this triangle can form a tessellation.

The internal angles of a square divided by 360 makes 4 this a whole number meaning it will tessellate

$360/90=4$

(4 is a whole number)

Answer:

A square can form a tessellation.

The internal angles of a pentagon divided by 360 makes 3.33, this is not a whole number meaning it will not tessellate

$360/108=3.33$

(3.33 is NOT a whole number)

Answer:

A pentagon can NOT form a tessellation.

The internal angles of a hexagon divided by 360 makes 3, this is a whole number meaning it will tessellate

$360/120=3$

Answer:

A hexagon can be tessellated.