Question

Determine whether each regular polygon tessellates the plane. Explain.

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

Answer 1

Yes, measure of interior angle=60 degrees.
Equilateral means all angles equal
sum of interior angles in triangle is 180 degrees
so each angle is 60 degrees
as 60 divides into 360 without remainders, you can tessellate a equilateral triangle

Answer 2

The question asks about hexagon. The interior angle of a hexagon is 120 degrees which is an exact divisor of 360 degrees and therefore the answer is: yes; measure of interior angle = 120°