so of course the sum of the exterior angles

*is*always 360 degrees

as an exercise in using exterior angles of regular polygons, students can be asked to find the angle sum of the pointed corners of the (n , 2) star polygon family

start somewhere and join this to a vertex two places (i.e. next but one) round the circle

sometimes (when?) you get degenerate cases that fit together to make a star polygon (this depends on your definition)

a general rule for the angle sum for any number of sides of a regular star polygon can be deduced

there is a quick way of sorting out the angle sum for a regular pentagonal star

circle templates without centre points can be found at NRich

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