Determine whether the following regular polygon tessellates the plane. explain.
-decagon
a. yes; measure or interior angle = 144
b. no; measure of interior angle = 144
c. yes; measure of interior angle = 36
d. no; measure of interior angle = 36

The answer is option B

Step-by-step explanation:

A decagon cannot tessellate.

Tessellation means the tiling of a plane using geometric shapes with no overlaps or no gaps.

A regular polygon can only tessellate the plane if its interior angle divides 360 degrees. Hence, tessellation is only applicable for equilateral triangles, squares and regular hexagons. - NO DECAGONS

A decagon has an interior angle of 144 degrees. This when divided by 360 gives, . We can see its not completely divisible and the answer is a fraction form. This is the reason decagon cannot tessellate.

Therefore, option B is the answer.

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