Draw a hexagon of equal sides and unequal angles.

In a polygon with all angles equal, one outer angle is twice an inner angle.

i) How much is each of its angle?

ii) How many sides does it have?

The sum of the outer angles of polygon is twice the sum of the inner angles. How many sides does it have? What if the sum of outer angles is half the sum of inner angles? And if the sums are equal?

Draw a hexagon of equal angles and unequal sides.

How much is each angle of a 15-sided regular polygon? How much is each outer angle?