Question

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

Answer 1

hey my names Jayden

Answer 2

that would be either hexagon or octagon

Answer 3

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
\[51.43n=360~~\Rightarrow~~n\approx7\]