Determine whether the following regular polygon tessellates the plane. Explain.

hexagon

a. yes; measure or interior angle = 120
b. no; measure of interior angle = 120
c. yes; measure of interior angle = 60
d. no; measure of interior angle = 60

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Answer:

A: yes, measure of interior angle = 120

Step-by-step explanation:

120 can be divided with 360 without any remainders

if the total degrees can be divided by the interior angle degrees without any remainders, then it tessellates the plane.

Yes, The regular polygon tessellates the plane because the measure or interior angle = 120. hence, the option A is correct.

Regular polygon:

We know that 120 could be divided by 360 without having any kind of remainders.

So, in the case when the total degrees could be divided by the interior angle degrees so it should tessellates the plane

hence, the option a is correct.

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