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Polygons

Say b is twice the value of a, then to find the possible number of sides shall be as follows:

Since b is twice of a, thus b = ( a + a ) = 2a

and knowing that the value of interior (2a) and exterior angle (a) = 180 degree & total exterior angle = 360 degree

By applying this principal, a + 2a = 3a = 180 degree

                                         a = 60 degree

therefore, 360 degree ÷ 60 degree will gives you a number of sides for the regular polygon of which in this case = 6 sides