Determine whether each regular polygon tessellates the plane. explain. octagon a. yes; measure of interior angle = 135° b. no; measure of interior angle = 135° c. yes; measure of interior angle = 45° d. no; measure of interior angle = 45°

b.  no; measure of interior angle = 135°

Step-by-step explanation:

A regular polygon can only tessellate the plane when its interior angle divides 360 degrees.

The polygons that tessellate are - the square, the equilateral triangle, and the regular hexagon.

The octagon cannot tessellate because its internal angle does not divide 360 degrees. Tessellation means an arrangement of polygons in a repeated pattern without overlapping.

The internal angle of an octagon is 135 degrees. When we divide 360 by 135 we get,

Its not a complete number this is why octagons do not tessellate.

5y

step-by-step explanation: