An advertising executive was using her computer to design a graphic in shape of a convex regular polygon. If one of the exterior angles ha a measure of about 51.43 degrees then what the name of the polygon

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anonymous · Answer

hey my names Jayden

anonymous · Answer

that would be either hexagon or octagon

anonymous · Answer

The $n$ exterior angles of a regular $n$-gon add up to 360. You know the measure of each angle is 51.43 degrees, so you can set up the equation
$$51.43n=360~~\Rightarrow~~n\approx7$$